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Study sets matching "algebra rules exponents"

16 terms
Algebra - Rules of exponents
x^a = x^b
x^ -a
(x^a)(x^b)
x^a/x^b
a = b
1/x^a
x^ a+b
x^a-b = 1/x^b-a
x^a = x^b
a = b
x^ -a
1/x^a
16 terms
Algebra and Exponents Properties and Rules
Commutative Property of Multiplication
Commutative Property of Addition
Associative Property of Multiplication
Associative Property of Addition
Change of Order
Change of Order
Change of Parenthesis
Change of Parenthesis
Commutative Property of Multiplication
Change of Order
Commutative Property of Addition
Change of Order
8 terms
algebra exponent rules
scientific notation
x∧a x∧b
x∧a÷x∧b
(x∧a)∧∧b
a×10∧b 1≤a<10 b=integer
x∧ a+b
x∧ a−b
x∧ab
scientific notation
a×10∧b 1≤a<10 b=integer
x∧a x∧b
x∧ a+b
14 terms
Algebra rules for exponents
zero exponents rule
power rule (powers to powers)
negative exponent rule for denominator
product rule
this says that anything raised to the zero power is 1 (ex: a…
this says that to raise a power to a power you need to multip…
negative exponents in the denominator get moved to the numera…
this says multiply two exponents with the same base, you keep…
zero exponents rule
this says that anything raised to the zero power is 1 (ex: a…
power rule (powers to powers)
this says that to raise a power to a power you need to multip…
10 terms
algebra 1 rules of exponents
Am * An=
(Am)n=
(AB)m=
Am/An=
Am+n
Amn
AmBm
Am-n
Am * An=
Am+n
(Am)n=
Amn
10 terms
Exponent Rules- Algebra 2
Product Rule
Quotient Rule
Power Rule
Group of Factors
If the operation is MULTIPLICATION and the bases are the same…
If the operation is DIVISION and the bases are the same, keep…
When raising a Power, to a Power, keep the base and MULTIPLY…
Use the same rule as the Power rule on each factor in the group
Product Rule
If the operation is MULTIPLICATION and the bases are the same…
Quotient Rule
If the operation is DIVISION and the bases are the same, keep…
12 terms
Jones Algebra - Product Rule of Exponents
Simplify: x²(x³)
Simplify: x²y⁷(x³y¹)
Simplify: x⁵x
Simplify: x²xx
x⁵
x⁵y⁸
x⁶
x⁴
Simplify: x²(x³)
x⁵
Simplify: x²y⁷(x³y¹)
x⁵y⁸
5 terms
algebra exponent rules
you add the exponents
you multiply the exponents
1
subtract the top exponent from the bot…
if you are multiplying powers with the same base..
raising a power to a power..
anything/itself
when dividing exponents with the same base
you add the exponents
if you are multiplying powers with the same base..
you multiply the exponents
raising a power to a power..
Algebra [H] Exponent Rules
a^0
a^-n
a^m × a^n
(a^m)^n
1∫
a(1/n)
a^m+n
a^mn
a^0
1∫
a^-n
a(1/n)
6 terms
Algebra II Exponent rules
Product rule
Quotient rule
Zero exponent rule
Power rule
To multiply when two bases are the same, write the bases and…
To divide when two bases are the same, write the base and SUB…
Any base (except 0) raised to the zero power is one
To raise a power to another, write the base and MULTIPLY the…
Product rule
To multiply when two bases are the same, write the bases and…
Quotient rule
To divide when two bases are the same, write the base and SUB…
18 terms
Algebraic Expressions and Rules of Exponents
like terms have the same
a constant is
coefficient of a term
7x-5... 7 is the ____... 5 is the ____
variables and the corresponding variables have the same expon…
a term that has no variable
a number that is multiplied by variable
coefficient, constant
like terms have the same
variables and the corresponding variables have the same expon…
a constant is
a term that has no variable
12 terms
Jones Algebra - Product Rule of Exponents
Simplify: x²(x³)
Simplify: x²y⁷(x³y¹)
Simplify: x⁵x
Simplify: x²xx
x⁵
x⁵y⁸
x⁶
x⁴
Simplify: x²(x³)
x⁵
Simplify: x²y⁷(x³y¹)
x⁵y⁸
8 terms
Algebra Chapter 5: Exponent Rules
Product of Powers
Power of a Power
Power of a Product
Negative Exponent
m n m+n... X * X = X
n... ( m) m*n... ( X ) = X
n n n... ( XY ) = X * Y
make a reciprocal and change the exponent sign... -n n... X = 1/X
Product of Powers
m n m+n... X * X = X
Power of a Power
n... ( m) m*n... ( X ) = X
11 terms
Algebra 1 Exponent Rules- Study
P to the -8th power
C to the 22nd power
(H to the 18th power) 20th power
Y to the 36th power
P to the 4th power... ______________... P to the 12th power
C to the 12th power * C to the 10th power
H to the 180th power
(Y to the 4th power) 18th power
P to the -8th power
P to the 4th power... ______________... P to the 12th power
C to the 22nd power
C to the 12th power * C to the 10th power
8 terms
[Algebra II] 6.0+: Exponent Rules
a^m + aⁿ =
(a^m)ⁿ =
(a*b)^m =
a⁰ =
a^m+n
a^m*n
a^m * b^m
1, but a ≠ 0
a^m + aⁿ =
a^m+n
(a^m)ⁿ =
a^m*n
13 terms
Exponents and Exponent Rules
Product of Powers
Power of Quotients
Negative Power
Power of exponent
Product of Powers
Power of Quotients
77 terms
Algebra II - Rules for exponents and radical expressions
1
2
3
4
When multiplying exponential expressions that have the same b…
When multiplying exponential expressions that have the same b…
When dividing exponential expressions that have the same base…
When dividing exponential expressions that have the same base…
1
When multiplying exponential expressions that have the same b…
2
When multiplying exponential expressions that have the same b…
8 terms
[Algebra II] 6.0+: Exponent Rules
a^m + a^n =
(a^m)ⁿ =
(a*b)^m =
a⁰ =
a^m+n
a^m*n
a^m * b^m
1, but a ≠ 0
a^m + a^n =
a^m+n
(a^m)ⁿ =
a^m*n
11 terms
Horn Algebra - Power to Power Exponent Rule
Simplify: (x²)²
Simplify: (x³)²
Simplify: (2x⁴)²
Simplify: (7x³)²
x⁴
x⁶
4x⁸
49x⁶
Simplify: (x²)²
x⁴
Simplify: (x³)²
x⁶
17 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
7 terms
Exponent Rules
the product rule
the quotient rule
raising a quotient to a power
raising a product to a power
When your bases are the same you keep the base and add the ex…
When your bases are the same you keep the base and subtract t…
the product rule
When your bases are the same you keep the base and add the ex…
the quotient rule
When your bases are the same you keep the base and subtract t…
7th Grade Regular/Honors Pre-Algebra: The 6 Rules of Exponents
Rule #1: If two exponents of the same…
Rule #2: If two exponents of the same…
Rule #3: If an exponent is being raise…
Rule #4: If an exponent is being raise…
add
subtract
multiply
1/x^5
Rule #1: If two exponents of the same…
add
Rule #2: If two exponents of the same…
subtract
18 terms
Exponents Rules
Multiplying Monomials
Multiplying Monomials - Example 1
Multiplying Monomials - Example 2
Dividing Monomials
Multiplying Monomials
Multiplying Monomials - Example 1
20 terms
Exponent Rules
the product rule
the quotient rule
raising a quotient to a power
raising a product to a power
When your bases are the same you keep the base and add the ex…
When your bases are the same you keep the base and subtract t…
the product rule
When your bases are the same you keep the base and add the ex…
the quotient rule
When your bases are the same you keep the base and subtract t…
10 terms
Rules of Exponents
Exponents
Base
Zero Exponent
Negative Exponent
Also known as the index or power, tells you how many times yo…
A term, variable, or number being raised to a power.
Any number raised to the zero power is equal to 1, except for…
Indicates reciprocation, with the exponent of the reciprocal…
Exponents
Also known as the index or power, tells you how many times yo…
Base
A term, variable, or number being raised to a power.
13 terms
Exponents and Exponent Rules
Product of Powers
Power of Quotients
Negative Power
Power of exponent
Product of Powers
Power of Quotients
12 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
8 terms
Exponent Rules
Multiplication of numbers in exponenti…
Division of numbers in exponential form
More division rules in exponential form
More Multiplication rules in exponenti…
Keep the base - add the exponents.
Keep the base - subtract the exponents.
Keep the base - subtract the exponents.... Simplify all terms.
Multiply the coefficient, keep the base, add the exponents
Multiplication of numbers in exponenti…
Keep the base - add the exponents.
Division of numbers in exponential form
Keep the base - subtract the exponents.
16 terms
Rules of Exponents
5³×5⁴
m⁸/m²
(w³)³
k⁶/k
5⁷
m⁶
w⁹
k⁵
5³×5⁴
5⁷
m⁸/m²
m⁶
Exponent Rules
m³×m⁸
(a⁶)⁴
w¹⁸/w⁵
(g⁵)²
m¹¹
a²⁴
w¹³
g¹⁰
m³×m⁸
m¹¹
(a⁶)⁴
a²⁴
13 terms
Exponent Rules
the product rule
the quotient rule
raising a quotient to a power
raising a product to a power
When your bases are the same you keep the base and add the ex…
When your bases are the same you keep the base and subtract t…
the product rule
When your bases are the same you keep the base and add the ex…
the quotient rule
When your bases are the same you keep the base and subtract t…
9 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
6 terms
Exponent Rules
Product Rule
Power of a Power Rule
Power of a Product Rule
Quotient Rule
Product Rule
Power of a Power Rule
30 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
6 terms
Exponent Rules
Product Rule
Quotient Rule
Power to a Power Rule
Negative Exponent Rule
When your bases are the same you keep the base add the expone…
When your bases are the same you keep the base subtract the e…
When you have an exponent raised to another exponent you keep…
You reciprocate
Product Rule
When your bases are the same you keep the base add the expone…
Quotient Rule
When your bases are the same you keep the base subtract the e…
12 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
20 terms
Exponent Rules
the product rule
the quotient rule
raising a quotient to a power
raising a product to a power
When your bases are the same you keep the base and add the ex…
When your bases are the same you keep the base and subtract t…
the product rule
When your bases are the same you keep the base and add the ex…
the quotient rule
When your bases are the same you keep the base and subtract t…
11 terms
Exponent Rules
Product of power rule
Quotient of power rule
Power of a Quotient rule
Power to a Power Rule
When your bases are the same you keep the base and add the ex…
When your bases are the same you keep the base and subtract t…
When you have a quotient raised to a power, you get a quotien…
When you have an exponent raised to another exponent you keep…
Product of power rule
When your bases are the same you keep the base and add the ex…
Quotient of power rule
When your bases are the same you keep the base and subtract t…
8 terms
Exponent Rules
Multiplication of numbers in exponenti…
Division of numbers in exponential form
More division rules in exponential form
More Multiplication rules in exponenti…
Keep the base - add the exponents.
Keep the base - subtract the exponents.
Keep the base - subtract the exponents.... Simplify all terms.
Multiply the coefficient, keep the base, add the exponents
Multiplication of numbers in exponenti…
Keep the base - add the exponents.
Division of numbers in exponential form
Keep the base - subtract the exponents.
9 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
Exponent Rules
Multiplication: 3 x 7 and add exponent…
Power to Power: Distribute the 2 to th…
Division: Divide -4 by -1 & subtract e…
Negatives: Move only x and z to denomi…
Multiplication: 3 x 7 and add exponent…
Power to Power: Distribute the 2 to th…
18 terms
Exponent Rules
4x⁶
8x⁶
27x⁹
x⁵
(-2x³)²
-4x³(-2x³)
(3x³)³
(x²)(x³)
4x⁶
(-2x³)²
8x⁶
-4x³(-2x³)
11 terms
Exponent Rules
b²÷b³ =
(2b²)³ =
(a³b)² =
(a/b)² =
b²⁻³ = b⁻¹ = 1/b
(2³)(b²*³) = 8b⁶
a⁶b²
a²/b²
b²÷b³ =
b²⁻³ = b⁻¹ = 1/b
(2b²)³ =
(2³)(b²*³) = 8b⁶
6 terms
Exponents and Exponent Rules
Product of Powers
Power of Quotients
Negative Power
Power of exponent
Product of Powers
Power of Quotients
17 terms
ASC Algebra 1 Unit 1 Set 1 Exponent Rules
5^0
5x^0
(5x)^0
x^0
1
5
1
1
5^0
1
5x^0
5
8 terms
Exponent Rules
Multiplication of numbers in exponenti…
Division of numbers in exponential form
More division rules in exponential form
More Multiplication rules in exponenti…
Keep the base - add the exponents.
Keep the base - subtract the exponents.
Keep the base - subtract the exponents.... Simplify all terms.
Multiply the coefficient, keep the base, add the exponents
Multiplication of numbers in exponenti…
Keep the base - add the exponents.
Division of numbers in exponential form
Keep the base - subtract the exponents.
20 terms
Exponent Rules
m³×m⁸
(a⁶)⁴
w¹⁸/w⁵
(3²g⁵)²
m¹¹
a²⁴
w¹³
81g¹⁰
m³×m⁸
m¹¹
(a⁶)⁴
a²⁴
38 terms
Rule of Exponents
xᵃ · x^b
aˣ · bˣ
xᵃ/x^b
(a/b)ˣ
xᵃ⁺b
(ab)ˣ
x⁽ᵃ⁻b⁾
aˣ/bˣ
xᵃ · x^b
xᵃ⁺b
aˣ · bˣ
(ab)ˣ
25 terms
Exponent Rules
x¹³
y⁵
9y²
1
x⁶x⁷
y⁹/y⁴
(3y)²
(15¹⁵5⁷)⁰
x¹³
x⁶x⁷
y⁵
y⁹/y⁴
16 terms
Rules of Exponents
5³×5⁴
m⁸/m²
(w³)³
k⁶/k
5⁷
m⁶
w⁹
k⁵
5³×5⁴
5⁷
m⁸/m²
m⁶
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