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

$$\frac{x^6y^9}{x^4y^2} = x^{2}y^{7}$$ .

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Math

Calculus

Power Rule

12/11 Power Of A Power Rule Of Exponents

12/11 - Power of a Power Rule of Exponents

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

What is the Power of a Power Rule in exponents?

Back

The Power of a Power Rule states that when raising a power to another power, you multiply the exponents. For example, $(a^m)^n = a^{m*n}$ .

FLASHCARD QUESTION

Front

Simplify $(x^3)^4$ .

Back

$x^{12}$ .

FLASHCARD QUESTION

Front

What is the result of $(2ab)^3$ ?

Back

$8a^3b^3$ .

FLASHCARD QUESTION

Front

Simplify $(3x^3y^5)^4$ .

Back

$81x^{12}y^{20}$ .

FLASHCARD QUESTION

Front

What does $a^0$ equal for any non-zero number a?

Back

$1$ .

FLASHCARD QUESTION

Front

What is the result of $\frac{a^m}{a^n}$ ?

Back

$a^{m-n}$ .

FLASHCARD QUESTION

Front

What is the result of $a^{-n}$ ?

Back

$\frac{1}{a^n}$ .

FLASHCARD QUESTION

Front

What is the result of $a^m * a^n$ ?

Back

$a^{m+n}$ .

FLASHCARD QUESTION

Front

What is the result of $\frac{a^m}{b^m}$ ?

Back

$\frac{a}{b}^m$ .

10.

FLASHCARD QUESTION

Front

What is the result of $(xy)^n$ ?

Back

$x^n y^n$ .

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