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

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

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

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

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

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

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

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

What is the first step in applying the Quotient Rule?

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

What is $$a^0$$ equal to?

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

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

Quotient Rule of Exponents

Flashcard

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Mathematics

•

7th - 9th Grade

•

Practice Problem

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Hard

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FLASHCARD QUESTION

Front

What is the Quotient Rule of Exponents?

Back

FLASHCARD QUESTION

Front

Back

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.

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

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Back

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