What is the 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

Product Rule Exponents

Product Rule - Exponents

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

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

Standards-aligned

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16 questions

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FLASHCARD QUESTION

Front

What is the Product Rule for exponents?

Back

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

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $-9h \times 4h$

Back

$-36h^2$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Simplify: $-4m^2 \times m^2$

Back

$-4m^4$ .

FLASHCARD QUESTION

Front

Simplify: $2a^2b^4z \times 6a^3b^2z^5$

Back

$12a^5b^6z^6$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Simplify: $x \times x$

Back

$x^2$ .

FLASHCARD QUESTION

Front

Simplify: $2x^3 \times 4x^5$

Back

$8x^8$ .

FLASHCARD QUESTION

Front

What happens when you multiply two numbers with the same base?

Back

You add their exponents.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

If $a^3 \times a^2$ is simplified, what is the result?

Back

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

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is $x^0$ equal to?

Back

$1$ , for any non-zero x.

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

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

Back

$15x^{2+3} = 15x^5$ .

Tags

CCSS.HSA.APR.A.1

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