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#### Study sets matching "laws exponents"

11 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
16 terms
Laws of Exponents
exponent
base
product
quotient
the small number in a power that tells how many times to mult…
in a power, it tells what number is being multiplied
the answer to a multiplication problem
the answer to a division problem
exponent
the small number in a power that tells how many times to mult…
base
in a power, it tells what number is being multiplied
17 terms
Laws of Exponents
(3x⁴)⁵
(7x³)⁰
7x⁰
1/a⁻⁵
(3⁵x²⁰)
1
7
a⁵
(3x⁴)⁵
(3⁵x²⁰)
(7x³)⁰
1
5 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
10 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - p…
power rule for exponents (2nd rule - p…
1
anything raised to the zero power a⁰=
1
product rule for exponents
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
62 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
17 terms
Laws of Exponents
(3x⁴)⁵
(7x³)⁰
7x⁰
1/a⁻⁵
(3⁵x²⁰)
1
7
a⁵
(3x⁴)⁵
(3⁵x²⁰)
(7x³)⁰
1
16 terms
Laws of Exponents
(3x⁴)⁵
(7x³)⁰
7x⁰
1/a⁻⁵
(3⁵x²⁰)
1
7
a⁵
(3x⁴)⁵
(3⁵x²⁰)
(7x³)⁰
1
20 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - p…
power rule for exponents (2nd rule - p…
1
anything raised to the zero power a⁰=
1
product rule for exponents
11 terms
Laws of Exponents
To multiply exponents with the same base
To divide exponents with the same base
Write using a positive exponent: a bas…
Write using a positive exponent: a bas…
keep the base and add the exponents
keep the base and subtract the exponents
shift the base to the numerator, while making the exponent po…
shift the base to the denominator, while making the exponent…
To multiply exponents with the same base
keep the base and add the exponents
To divide exponents with the same base
keep the base and subtract the exponents
11 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
8 terms
Laws of Exponents
Product
Quotient
Product Rule
Quotient Rule
The answer to a multiplication problem
The answer to a division problem
Product
The answer to a multiplication problem
Quotient
The answer to a division problem
10 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - p…
power rule for exponents (2nd rule - p…
1
anything raised to the zero power a⁰=
1
product rule for exponents
10 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
5 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
16 terms
Laws of Exponents
exponent
base
product
quotient
the small number in a power that tells how many times to mult…
in a power, it tells what number is being multiplied
the answer to a multiplication problem
the answer to a division problem
exponent
the small number in a power that tells how many times to mult…
base
in a power, it tells what number is being multiplied
12 terms
Laws of Exponents
PRODUCT RULE
QUOTIENT RULE
ZERO POWER RULE
POWER to a POWER RULE
To multiply when two bases are the same, keep the base and AD…
To divide when two bases are the same, keep the base and SUBT…
Any base (except 0) raised to the zero power is equal to one
To raise a power to another power, keep the base and MULTIPLY…
PRODUCT RULE
To multiply when two bases are the same, keep the base and AD…
QUOTIENT RULE
To divide when two bases are the same, keep the base and SUBT…
8 terms
Laws of Exponents
Law of Exponents for Multiplication (P…
Law of Exponents for Division (Quotien…
Law of Exponents for Power of a Power…
Law of Exponents for Power of a Produc…
MULTIPLY the coefficients... ADD the exponents of the powers th…
DIVIDE the coefficients... SUBTRACT the exponents of the powers…
Multiply the exponents, keep the base the same!... ans1: 2^10…
Distribute the exponent outside of the parenthesis to every t…
Law of Exponents for Multiplication (P…
MULTIPLY the coefficients... ADD the exponents of the powers th…
Law of Exponents for Division (Quotien…
DIVIDE the coefficients... SUBTRACT the exponents of the powers…
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
10 terms
Laws of exponents
5^3 * 5^2
8^2 * 8^8
(3x)^2
(X^8)^4
5^5
8^10
3^2 * x^2 = 9 x^2
X^32
5^3 * 5^2
5^5
8^2 * 8^8
8^10
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
8 terms
Exponent Laws
Zero Power
Power of One
Product of a Power (multiplying with t…
Power of a Power
Any non-zero number raised to the zero power is equal to 1 (o…
Any number raised to the power of 1 is equal to itself.
write the base and add the exponents
write the base and multiply the exponents
Zero Power
Any non-zero number raised to the zero power is equal to 1 (o…
Power of One
Any number raised to the power of 1 is equal to itself.
38 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
62 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
9 terms
Laws of Exponents
Product of Powers
Power of a Power
Quotient of Powers
Power of a Quotient
When multiplying powers that have the same base, add their ex…
To find the power of a power, multiply the exponents.
To divide two powers with the same base, subtract the exponen…
To find the power of a quotient, find the power of the numera…
Product of Powers
When multiplying powers that have the same base, add their ex…
Power of a Power
To find the power of a power, multiply the exponents.
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
12 terms
laws of exponents
subtracting polynomials
multiplying monomials
dividing monomials
identify like terms and then combine like terms
reverse the sign and then add the terms
when like bases are multiplied, the exponents are added. When…
Divide the the coeffcients and subtract the exponents
identify like terms and then combine like terms
subtracting polynomials
reverse the sign and then add the terms
62 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
10 terms
Laws of Exponents
Zero Exponent
Negative Exponents
Exponent of 1
Multiplying with the same base
the answer is always 1(a to the power of 0=1)
any number taken to the negative exponent is 1/positive power…
its the number itself a 1=a
a number with the same base you add the exponents together a…
Zero Exponent
the answer is always 1(a to the power of 0=1)
Negative Exponents
any number taken to the negative exponent is 1/positive power…
10 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
12 terms
Laws of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials
Subtracting like terms
When an expression has a positive integer exponent, it indica…
Like variables - the numerator exponent minus the denominator…
Subtracting Polynomials
Subtracting like terms
12 terms
Laws Of Exponents
Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials ( Quotient Rule )
Adding polynomials is just combining like terms with some ord…
Subtract like terms by changing the signs of the terms being…
When you multiply two terms together you must multiply the co…
When you divide polynomials you have to factor your polynomia…
Adding polynomials is just combining like terms with some ord…
Subtracting Polynomials
Subtract like terms by changing the signs of the terms being…
9 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - p…
power rule for exponents (2nd rule - p…
1
anything raised to the zero power a⁰=
1
product rule for exponents
7 terms
Laws of Exponents
Product Rule
Quotient
Power of a power
Power of a product
Keep base subtract exponents
Keep base multiply exponents
Distribute exponent
Product Rule
Quotient
Keep base subtract exponents
7 terms
Laws of Exponents
Power to a Power
Multiplying Powers
Dividing Powers
Negative Exponents
Multiply the exponents together and keep the base the same.
Add the exponents together and keep the base the same.
Subtract the exponents and keep the base the same.
To change the sign cross the line. Find the reciprocal to mak…
Power to a Power
Multiply the exponents together and keep the base the same.
Multiplying Powers
Add the exponents together and keep the base the same.
15 terms
Laws of Exponents
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
x⁸
(2x⁴)(x³)
2x⁷
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
12 terms
Laws of Exponents
power
base
exponent
Product of Powers
short hand way of writing repeated multiplication
the number in a power that is being multiplied
the number in a power that tells how many times a number is b…
3⁵ × 3² is an example of which law of exponents?
power
short hand way of writing repeated multiplication
base
the number in a power that is being multiplied
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
(x⁵)(x³)
2x⁷
(2x⁴)(x³)
6 terms
Laws of Exponents
Multiplying Numbers with the same base
Multiplying different bases with the s…
Dividing Numbers with the same base
Dividing different bases with the same…
n1 x n5=n1+5
a3xb3=(ab)3
n1... ~~~~ = n 1-6... n6
5... a5xb5=(a)... (~~~)... (b)
Multiplying Numbers with the same base
n1 x n5=n1+5
Multiplying different bases with the s…
a3xb3=(ab)3
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
½
2⁻¹
2⁻³
34 terms
Laws of Exponents
1
1
-25
25
2⁰
1³²
-5²
(-5)²
1
2⁰
1
1³²
20 terms
Laws of Exponents
Evaluate... 8^4 * 8^3
Evaluate ... 6^8/6^5
Which number is the Base and which is…
Evaluate... (n^5 )^3
8^7
6^3
Base is 5... Power is 9
n^15
Evaluate... 8^4 * 8^3
8^7
Evaluate ... 6^8/6^5
6^3
12 terms
Laws of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials
matter of combining like terms, with some order of operations…
the same as adding polynomials, but has a minus sign
matter of combining like terms, with some order of operations…
Subtracting Polynomials
the same as adding polynomials, but has a minus sign
11 terms
Laws of Exponents
1
1/x
1/x⁻²
x⁻⁴/x⁻⁴
1/x⁻³
x⁴/x⁵
1/x⁻²
1
x⁻⁴/x⁻⁴
1 of 10