What is the result of $$(x^2y^3)^2$$ ?

$$x^{2 \times 2}y^{3 \times 2} = x^4y^6$$ .

If $$3^0 = ?$$ , what is the answer?

1, because any non-zero number raised to the power of 0 is 1.

What is the value of $$(4^2)^3$$ ?

$$4^{2 \times 3} = 4^6 = 4096$$ .

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Math

Number Sense

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Product Of Powers And Power Of Product Properties

Product of Powers and Power of Product Properties

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, 6.EE.A.1

Standards-aligned

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FLASHCARD QUESTION

Front

What is the Product of Powers Property?

Back

When multiplying two powers with the same base, you add the exponents. For example, $a^m \times a^n = a^{m+n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the Power of a Product Property?

Back

When raising a product to a power, you can distribute the exponent to each factor. For example, $(ab)^n = a^n \times b^n$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

True or False: $6^4 \times 3^5$ and $18^9$ are equivalent.

Back

False.

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

What is the exponent in the expression $4^3$ ?

Back

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

When multiplying the same base, you should ________________________

Back

add the exponents.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the value of $2^3 \times 2^2$ ?

Back

$2^{3+2} = 2^5 = 32$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

If $x^4 \times x^3$ is simplified, what is the result?

Back

$x^{4+3} = x^7$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is $(2 \times 3)^2$ equal to?

Back

$2^2 \times 3^2 = 4 \times 9 = 36$ .

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

If $a^5 \times a^2 = a^n$ , what is the value of n?

Back

n = 7.

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

What does the term 'base' refer to in exponents?

Back

The base is the number that is being multiplied by itself. In $a^n$ , 'a' is the base.

Tags

CCSS.6.EE.A.1

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