What is the Quotient of Powers Rule used for?

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

What is $$a^m ÷ a^n$$ when m

It results in a fraction: $$a^{m-n} = \frac{1}{a^{n-m}}$$ .

Quotient of Powers Review Flashcards: 15 Cards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quotient of Powers Rule?

Back

When dividing two powers with the same base, subtract the exponents: $a^m ÷ a^n = a^{m-n}$ .

2.

FLASHCARD QUESTION

Front

Evaluate $3^5 ÷ 3^2$ .

Back

$3^{5-2} = 3^3 = 27$ .

3.

FLASHCARD QUESTION

Front

Simplify $c^{30} ÷ c^{14}$ .

Back

$c^{30-14} = c^{16}$ .

4.

FLASHCARD QUESTION

Front

What happens when you divide a number by itself?

Back

Any non-zero number divided by itself equals 1: $a ÷ a = 1$ .

5.

FLASHCARD QUESTION

Front

Evaluate $(-5)^2 ÷ (-5)^1$ .

Back

$(-5)^{2-1} = (-5)^1 = -5$ .

6.

FLASHCARD QUESTION

Front

What is $x^0$ equal to?

Back

Any non-zero number raised to the power of 0 equals 1: $x^0 = 1$ .

7.

FLASHCARD QUESTION

Front

Simplify $2^5 ÷ 2^3$ .

Back

$2^{5-3} = 2^2 = 4$ .

8.

FLASHCARD QUESTION

Front

Evaluate $81 ÷ 3^4$ .

Back

$81 = 3^4, so 81 ÷ 3^4 = 1$ .

9.

FLASHCARD QUESTION

Front

What is the result of $c^m ÷ c^m$ ?

Back

$c^m ÷ c^m = c^{m-m} = c^0 = 1$ .

10.

FLASHCARD QUESTION

Front

Simplify $x^7 ÷ x^3$ .

Back

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

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