What is the quotient of powers rule used for?

To simplify expressions involving division of powers with the same base.

Quotient of powers Flashcards: 15 Cards (8th Grade)

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the quotient of powers rule?

Back

The quotient of powers rule states that when dividing two powers with the same base, you subtract the exponents: $a^m / a^n = a^{m-n}$ .

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

Simplify the expression $4^2 / 4^1$ .

Back

$4$ .

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Simplify the expression $\frac{7a^5}{b^3}$ .

Back

$\frac{7a^5}{b^3}$ .

4.

FLASHCARD QUESTION

Front

Evaluate the expression using the quotient rule: $2^{14} z^{13}$ .

Back

$2^{2} z^{7}$ .

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

What happens when you divide two powers with the same base?

Back

You subtract the exponents.

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

Simplify the expression $7^6 / 7^1$ .

Back

$7^5$ .

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

What is $a^0$ equal to?

Back

$1$ for any non-zero value of a.

Tags

CCSS.8.EE.A.1

8.

FLASHCARD QUESTION

Front

Evaluate the expression using the quotient rule: $\frac{6^{30}}{6^{8}}$ .

Back

$6^{22}$ .

Tags

CCSS.8.EE.A.1

9.

FLASHCARD QUESTION

Front

If $x^m / x^n$ , what is the result?

Back

$x^{m-n}$ .

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

What is the result of $\frac{b^3}{7a^5}$ ?

Back

$\frac{b^3}{7a^5}$ .

Tags

CCSS.HSA.APR.A.1

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