What is (3/5)^{-0.85} ?

The solution to (3/5)^{-0.85} is (5^{0.85})/(3^{0.85)}

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simplify (3/5)^{-0.85}

simplify

(\frac{3}{5})^{- 0.85}

\frac{5 ^{0.85}}{3 ^{0.85}}

Decimal Notation

1.54373 \dots

Solution steps

(\frac{3}{5})^{- 0.85}

Apply exponent rule:

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

(\frac{3}{5})^{- 0.85} = \frac{1}{( \frac{3}{5} ) ^{0.85}}

= \frac{1}{( \frac{3}{5} ) ^{0.85}}

Apply exponent rule:

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

(\frac{3}{5})^{0.85} = \frac{3 ^{0.85}}{5 ^{0.85}}

= \frac{1}{\frac{3 ^{0.85}}{5 ^{0.85}}}

Apply the fraction rule:

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

= \frac{5 ^{0.85}}{3 ^{0.85}}

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