Flashcard 2 - Upper Level: Quantitative Reasoning Flashcard Set for the ISEE

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The correct answer is:

the rules for exponents stated as follows:

\[x^{-a} = \frac{1}{x^a}\] \[x^{\frac{a}{b}} = (x^a)^{\frac{1}{b}}\]

Explanation:

\[(4)^{-\frac{3}{4}} = \frac {1}{4^{\frac{3}{4}}} = \frac{1}{(4^3)^{\frac{1}{4}}}\]

Evaluating further will yield the value of \(\frac{\sqrt 2}{4}\)

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