What is the first step in applying the Quotient Rule?

Identify the base and the exponents of the terms you are dividing.

What is the significance of the Quotient Rule in algebra?

It simplifies expressions involving division of exponential terms, making calculations easier.

Quotient Rule of Exponents Flashcards: 15 Cards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quotient Rule of Exponents?

Back

The Quotient Rule states that when dividing two exponential expressions with the same base, you subtract the exponents: $a^m / a^n = a^{m-n}$ .

2.

FLASHCARD QUESTION

Front

Simplify $\frac{a^5}{a^2}$

Back

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

3.

FLASHCARD QUESTION

Front

What happens when you divide two exponents with different bases?

Back

You cannot directly apply the Quotient Rule; you must simplify each base separately.

4.

FLASHCARD QUESTION

Front

Simplify $\frac{b^3c^7}{a^4b^4c^4}$

Back

$\frac{c^{7-4}}{a^4b^{4-3}} = \frac{c^3}{a^4b}$ .

5.

FLASHCARD QUESTION

Front

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

Back

$x^{m-n}$ .

6.

FLASHCARD QUESTION

Front

What is the result of $\frac{w^4y^6x^2}{w^2y^3x}$ ?

Back

$w^{4-2}y^{6-3}x^{2-1} = w^2y^3x$ .

7.

FLASHCARD QUESTION

Front

How do you simplify $\frac{18w^{15}v^{10}}{6w^3v^2}$ ?

Back

$\frac{18}{6}w^{15-3}v^{10-2} = 3w^{12}v^8$ .

8.

FLASHCARD QUESTION

Front

What is the simplified form of $\frac{-x^3y^{10}}{-xy^{10}}$ ?

Back

$\frac{x^{3-1}y^{10-10}}{1} = x^2$ .

10.

FLASHCARD QUESTION

Front

What is $a^0$ equal to?

Back

$1$ , for any non-zero base a.

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