What is the result of $$\text{(5}^0)$$ ?

1 (any non-zero number raised to the power of 0 is 1)

What is the result of $$\text{(a}^0)$$ ?

1 (any non-zero number raised to the power of 0 is 1)

What is the rule for raising a product to a power?

Raise each factor to the power.

What is the rule for raising a quotient to a power?

Raise the numerator and denominator to the power.

Resource Library

Math

Number Sense

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Power To A Power And Multiplying Exponent Rules

Power to a Power and Multiplying Exponent Rules

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, HSA.APR.A.1

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify the expression: $\text{(3}^2\text{a}^4)^{5}$

Back

$3^{10}a^{20}$

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify the expression: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Simplify: $x^3 \times x^4$

Back

$x^7$

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $\text{(3y}^6)(-5y^5)$

Back

$-15y^{11}$

FLASHCARD QUESTION

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the result of $\text{(a}^m)^{n}$ ?

Back

$a^{mn}$ (multiply the exponents)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the value of $\text{(2}^3)^{2}$ ?

Back

$2^6$ (multiply the exponents)

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

What is the result of $\text{(xy}^2)^{3}$ ?

Back

$x^3y^6$ (multiply the exponents)

Tags

CCSS.8.EE.A.1

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