Simplify and rationalize: $$\left(\frac{y^{\frac{1}{3}}y^{-2}}{\left(x^{\frac{5}{3}}y^3\right)^{-\frac{3}{2}}}\right)^{\frac{3}{2}}$$

$$x^{\frac{15}{4}}y^{\frac{17}{4}}$$

Rational Exponents Flashcards

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12 questions

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1.

FLASHCARD QUESTION

Front

Write using a rational exponent: $\sqrt[]{x^{11}}$

Back

$x^{\frac{11}{2}}$

2.

FLASHCARD QUESTION

Front

$\sqrt[3]{x^{15}}$

Back

$x^5$

3.

FLASHCARD QUESTION

Front

Choose the BEST way to write using a radical: $x^{\frac{9}{2}}$

Back

$\sqrt[]{x^9}$

4.

FLASHCARD QUESTION

Front

Simplify:

Back

36

5.

FLASHCARD QUESTION

Front

Choose the correct answer.

Back

D

6.

FLASHCARD QUESTION

Front

Simplify $u^{-\frac{5}{4}}v^2•\left(u^{\frac{3}{2}}\right)^{-\frac{3}{2}}$ . Your answer should contain only positive exponents.

Back

$\frac{v^2}{u^{\frac{7}{2}}}$

7.

FLASHCARD QUESTION

Front

Simplify: 81a^7

Back

81a^12

9.

FLASHCARD QUESTION

Front

Simplify $\left(\frac{25}{49}\right)^{-\frac{1}{2}}$

Back

$\frac{7}{5}$

10.

FLASHCARD QUESTION

Front

Simplify $\frac{-4y}{2y^{\frac{2}{3}}}$

Back

$-2y^{\frac{1}{3}}$

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