What is (5/7)^{-0.65} ?

The solution to (5/7)^{-0.65} is (7^{0.65})/(5^{0.65)}

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simplify (5/7)^{-0.65}

simplify

(\frac{5}{7})^{- 0.65}

\frac{7 ^{0.65}}{5 ^{0.65}}

Decimal Notation

1.24446 \dots

Solution steps

(\frac{5}{7})^{- 0.65}

Apply exponent rule:

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

(\frac{5}{7})^{- 0.65} = \frac{1}{( \frac{5}{7} ) ^{0.65}}

= \frac{1}{( \frac{5}{7} ) ^{0.65}}

Apply exponent rule:

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

(\frac{5}{7})^{0.65} = \frac{5 ^{0.65}}{7 ^{0.65}}

= \frac{1}{\frac{5 ^{0.65}}{7 ^{0.65}}}

Apply the fraction rule:

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

= \frac{7 ^{0.65}}{5 ^{0.65}}

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