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Popular >

simplify 75(0.86)^{-3}

Solution

simplify

75 (0.86)^{- 3}

Solution

117.91414 \dots

Solution steps

75 (0.86)^{- 3}

Apply exponent rule:

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

= 75 \cdot \frac{1}{0.8 6 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 75}{0.8 6 ^{3}}

Multiply the numbers:

1 \cdot 75 = 75

= \frac{75}{0.8 6 ^{3}}

0.8 6^{3} = 0.636056

= \frac{75}{0.636056}

Divide the numbers:

\frac{75}{0.636056} = 117.91414 \dots

= 117.91414 \dots

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Frequently Asked Questions (FAQ)

What is 75(0.86)^{-3} ?
The solution to 75(0.86)^{-3} is 117.91414…