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Popular >

simplify f^{-1}(0.5)^{-2}

Solution

simplify

f^{- 1} (0.5)^{- 2}

Solution

\frac{4}{f}

Solution steps

f^{- 1} (0.5)^{- 2}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= 0. 5^{- 2} \cdot \frac{1}{f}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{0. 5 ^{2}} \cdot \frac{1}{f}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{f \cdot 0. 5 ^{2}}

Refine

= \frac{1}{0.25 f}

Divide the numbers:

\frac{1}{0.25} = 4

= \frac{4}{f}

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Frequently Asked Questions (FAQ)

What is f^{-1}(0.5)^{-2} ?
The solution to f^{-1}(0.5)^{-2} is 4/f