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#### Study sets matching "laws exponents"

10 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - po…
power rule for exponents (2nd rule - po…
1
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
62 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
20 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - po…
power rule for exponents (2nd rule - po…
1
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
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 base…
Write using a positive exponent: a base…
keep the base and add the exponents
keep the base and subtract the exponents
shift the base to the numerator, while making the exponent pos…
shift the base to the denominator, while making the exponent p…
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 make…
8 terms
Laws of Exponents
Product
Quotient
Product Rule
Quotient Rule
The answer to a multiplication problem
The answer to a division problem
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
10 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - po…
power rule for exponents (2nd rule - po…
1
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 make…
16 terms
Laws of Exponents
exponent
base
product
quotient
the small number in a power that tells how many times to multi…
in a power, it tells what number is being multiplied
the answer to a multiplication problem
the answer to a division problem
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 ADD…
To divide when two bases are the same, keep the base and SUBTR…
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…
8 terms
Laws of Exponents
Law of Exponents for Multiplication (Pr…
Law of Exponents for Division (Quotient…
Law of Exponents for Power of a Power…
Law of Exponents for Power of a Product…
MULTIPLY the coefficients... ADD the exponents of the powers tha…
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 te…
8 terms
Exponent Laws
Zero Power
Power of One
Product of a Power (multiplying with th…
Power of a Power
Any non-zero number raised to the zero power is equal to 1 (or…
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
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
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
62 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
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 exp…
To find the power of a power, multiply the exponents.
To divide two powers with the same base, subtract the exponents.
To find the power of a quotient, find the power of the numerat…
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
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 m…
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 make…
12 terms
Laws of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials
Subtracting like terms
When an expression has a positive integer exponent, it indicat…
Like variables - the numerator exponent minus the denominator…
12 terms
Laws Of Exponents
Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials ( Quotient Rule )
Adding polynomials is just combining like terms with some orde…
Subtract like terms by changing the signs of the terms being s…
When you multiply two terms together you must multiply the coe…
When you divide polynomials you have to factor your polynomial…
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 be…
3⁵ × 3² is an example of which law of exponents?
15 terms
Laws of Exponents
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
x⁸
2x⁷
12x⁶
6x⁵
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
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 make…
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
9 terms
Laws of Exponents
anything raised to the zero power a⁰=
product rule for exponents
power rule for exponents (1st rule - po…
power rule for exponents (2nd rule - po…
1
15 terms
Laws of Exponents
x⁸
2x⁷
12x⁶
6x⁵
(x⁵)(x³)
(2x⁴)(x³)
(3x)(4x⁵)
(3x²)(2x³)
34 terms
Laws of Exponents
1
1
-25
25
2⁰
1³²
-5²
(-5)²
11 terms
Laws of Exponents
1
1/x
1/x⁻²
x⁻⁴/x⁻⁴
1/x⁻³
x⁴/x⁵
62 terms
Laws of Exponents
2⁻¹
2⁻³
2⁻²
2⁰
½
¼
1
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
12 terms
Laws Of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials
Combining like terms of two or more polynomials
Distribute the negative ( keep change flip ) then combine like…
When an expression has a positive integer exponent, it indicat…
Like variables - the numerator exponent minus the denominator…
48 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
44 terms
Laws of Exponents
½
¼
1
2⁻¹
2⁻³
2⁻²
2⁰
12 terms
Laws of Exponents.
Subtracting polynomials
Multiplying monomials.
DIviding monomials
no exponent changes, combine like terms using integer rules
Distribute the negative ( keep change flip ) then combine like…
To multiply the powers with like bases, add the exponents.
Divide the the coeffcients and subtract the exponents
9 terms
Laws of Exponents
Product Rule (same base)
Product Rule (same exponent)
Zero Exponent Rule
Negative Exponents Rule
a¹ × a² = a¹⁺² = a³... To multiply two powers with the same base,…
a⁴ × b⁴ = (ab)⁴... To multiply two numbers with the same exponent…
a⁰ = 1... Any number (not equal to zero), raised to a power of 0…
a⁻ⁿ = 1/aⁿ... Any number not equal to zero raised to a negative p…
17 terms
Law of Exponents
Base
Exponent
Multiplying Like Bases with Exponents
Zero as an Exponent
Which number is being multiplied... Example: 3ⁿ where 3 is the ba…
How many times you multiply the base times itself. It is a sma…
Any base with zero as an exponent always equals 1.... y⁰ = 1
12 terms
Laws of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials
Combine like terms
Distribute the negative ( keep change flip ) then combine like…
When an expression has a positive integer exponent, it indicat…
Like variables - the numerator exponent minus the denominator…
12 terms
Laws of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials (Quotient Rule)
Combining like terms of two or more polynomials
Distribute the negative ( keep change flip ) then combine like…
Multiply the coefficients then add the exponents if the bases…
Divide the the coeffcients and subtract the exponents
12 terms
Laws of Exponents
Subtracting Polynomials
Multiplying Monomials
Dividing Monomials ( Quotient Rule)
Polynomials can be added by combining like terms
1. Change the - sign to a +... 2. Change everything to the opposi…
Multiply the coefficients then add the exponents if the bases…
1. Divide the coefficients... 2. Divide the variables with the li…
12 terms
Laws of exponents
subtracting polnomials
multiplying polynomials
Dividing polynomials
add all the like terms form both or more polynomials
subtracting is like adding but you need to swap the signs of t…
when you multiply polynomials you distribute each term fro the…
when you divide a polynomials by a monomial
8 terms
Exponent Laws
Zero Power
Power of One
Product of a Power (multiplying with th…
Power of a Power
Any non-zero number raised to the zero power is equal to 1 (or…
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
17 terms
Law of Exponents
Base
Exponent
Multiplying Like Bases with Exponents
Zero as an Exponent
Which number is being multiplied... Example: 3ⁿ where 3 is the ba…
How many times you multiply the base times itself. It is a sma…
Any base with zero as an exponent always equals 1.... y⁰ = 1
7 terms
Exponent Laws
Zero Power
Power of One
Product Rule (multiplying with the same…
Power Rule (Power to a Power)
Any non-zero number raised to the zero power is equal to 1 (or…
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
13 terms
Unit 2 Laws of Exponents
Product of Powers Property (equation)
Quotient of Powers Property (equation)
Zero Power Property (equation)
Negative Exponents (equation)
14 terms
Exponent Laws
When multiplying with the same base, yo…
When raising a power to a power, you ke…
When dividing with the same base, you k…
When you have a negative exponent, you…