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Popular >

simplify 7.5x^{-0.5}

Solution

simplify

7.5 x^{- 0.5}

Solution

\frac{15}{2 x ^{0.5}}

Solution steps

7.5 x^{- 0.5}

Apply exponent rule:

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

x^{- 0.5} = \frac{1}{x ^{0.5}}

= 7.5 \cdot \frac{1}{x ^{0.5}}

Apply the fraction rule:

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

= \frac{7.5 \cdot 1}{x ^{0.5}}

Multiply the numbers:

7.5 \cdot 1 = 7.5

= \frac{7.5}{x ^{0.5}}

Simplify

\frac{7.5}{x ^{0.5}} : \frac{75}{10 x ^{0.5}}

= \frac{75}{10 x ^{0.5}}

Cancel

\frac{75}{10 x ^{0.5}} : \frac{15}{2 x ^{0.5}}

= \frac{15}{2 x ^{0.5}}

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Frequently Asked Questions (FAQ)

What is 7.5x^{-0.5} ?
The solution to 7.5x^{-0.5} is (15)/(2x^{0.5)}