What is (3/4)^{-0.95} ?

The solution to (3/4)^{-0.95} is (4^{0.95})/(3^{0.95)}

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simplify (3/4)^{-0.95}

simplify

(\frac{3}{4})^{- 0.95}

\frac{4 ^{0.95}}{3 ^{0.95}}

Decimal Notation

1.31429 \dots

Solution steps

(\frac{3}{4})^{- 0.95}

Apply exponent rule:

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

(\frac{3}{4})^{- 0.95} = \frac{1}{( \frac{3}{4} ) ^{0.95}}

= \frac{1}{( \frac{3}{4} ) ^{0.95}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{3}{4})^{0.95} = \frac{3 ^{0.95}}{4 ^{0.95}}

= \frac{1}{\frac{3 ^{0.95}}{4 ^{0.95}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4 ^{0.95}}{3 ^{0.95}}

k

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