What is 0.25x^{-0.75} ?

The solution to 0.25x^{-0.75} is 1/(4x^{0.75)}

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simplify 0.25x^{-0.75}

simplify

0.25 x^{- 0.75}

\frac{1}{4 x ^{0.75}}

Solution steps

0.25 x^{- 0.75}

Apply exponent rule:

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

x^{- 0.75} = \frac{1}{x ^{0.75}}

= 0.25 \cdot \frac{1}{x ^{0.75}}

Apply the fraction rule:

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

= \frac{0.25 \cdot 1}{x ^{0.75}}

Multiply the numbers:

0.25 \cdot 1 = 0.25

= \frac{0.25}{x ^{0.75}}

Simplify

\frac{0.25}{x ^{0.75}} : \frac{25}{100 x ^{0.75}}

= \frac{25}{100 x ^{0.75}}

Cancel the numbers:

\frac{25}{100} = \frac{1}{4}

= \frac{1}{4 x ^{0.75}}

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