What is the Exponent Product Rule used for?

It is used to simplify expressions involving the multiplication of powers with the same base.

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Math

Calculus

Product Rule

Exponent Product Rule

Flashcard

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Mathematics

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6th - 12th Grade

•

Practice Problem

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Hard

•

CCSS

8.EE.A.1, 6.EE.A.1, HSA.APR.A.1

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the Exponent Product Rule?

Back

The Exponent Product Rule states that when multiplying two expressions with the same base, you can add their exponents. For example, $a^m \times a^n = a^{m+n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $x^3 \times x^5$

Back

$x^{3+5} = x^8$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

True or False: The Exponent Product Rule applies to any base.

Back

True.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $2^3 \times 2^2$

Back

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

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is $3^4$ in expanded form?

Back

$3 \times 3 \times 3 \times 3$ .

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $x^4 \times x^{12}$

Back

$x^{4+12} = x^{16}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

If $a = 2$ , what is $a^3 \times a^2$ ?

Back

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

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What happens when you multiply $x^0$ by any non-zero number?

Back

It equals 1, since $x^0 = 1$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $3x^2 \times x^3$

Back

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

Tags

CCSS.HSA.APR.A.1

10.

FLASHCARD QUESTION

Front

What is the result of $5^2 \times 5^3$ ?

Back

$5^{2+3} = 5^5 = 3125$ .

Tags

CCSS.8.EE.A.1

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