Simplify $$\frac{x^4y^3}{x^2y^2}$$ .

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

What is the Quotient Rule used for?

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

Quotient Rule of Exponents Flashcards

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14 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 the expression $\frac{a^5}{a^2}$ .

Back

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

3.

FLASHCARD QUESTION

Front

What happens when you divide two numbers with the same base and different exponents?

Back

You subtract the exponents.

4.

FLASHCARD QUESTION

Front

Simplify the expression $\frac{b^4c^3}{b^2c^2}$ .

Back

$b^{4-2}c^{3-2} = b^2c^1 = b^2c$ .

5.

FLASHCARD QUESTION

Front

If $x^m / x^n$ equals $x^3$ , what is the value of m - n?

Back

m - n = 3.

6.

FLASHCARD QUESTION

Front

What is $\frac{2^5}{2^2}$ simplified?

Back

$2^{5-2} = 2^3 = 8$ .

7.

FLASHCARD QUESTION

Front

Simplify $\frac{y^8}{y^3}$ .

Back

$y^{8-3} = y^5$ .

8.

FLASHCARD QUESTION

Front

What is the result of $\frac{z^6}{z^6}$ ?

Back

1, because any non-zero number divided by itself equals 1.

9.

FLASHCARD QUESTION

Front

If $\frac{m^7}{m^4} = m^x$ , what is x?

Back

x = 3, because 7 - 4 = 3.

10.

FLASHCARD QUESTION

Front

Simplify $\frac{a^9b^5}{a^3b^2}$ .

Back

$a^{9-3}b^{5-2} = a^6b^3$ .

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