What is ((8^4)/(10^4))^{-1/4} ?

The solution to ((8^4)/(10^4))^{-1/4} is 5/4

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simplify ((8^4)/(10^4))^{-1/4}

simplify

(\frac{8 ^{4}}{1 0 ^{4}})^{- \frac{1}{4}}

\frac{5}{4}

Solution steps

(\frac{8 ^{4}}{1 0 ^{4}})^{- \frac{1}{4}}

Apply exponent rule:

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

(\frac{8 ^{4}}{1 0 ^{4}})^{- \frac{1}{4}} = \frac{1}{( \frac{8 ^{4}}{1 0 ^{4}} ) ^{\frac{1}{4}}}

= \frac{1}{( \frac{8 ^{4}}{1 0 ^{4}} ) ^{\frac{1}{4}}}

(\frac{8 ^{4}}{1 0 ^{4}})^{\frac{1}{4}} = \frac{4}{5}

= \frac{1}{\frac{4}{5}}

Apply the fraction rule:

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

= \frac{5}{4}

\frac{23}{17} - \frac{5}{2}

x^{- \frac{1}{3}} (x^{\frac{7}{6}} - x^{\frac{3}{4}})

\frac{1}{7} \cdot \frac{2}{9}

2 x^{2} + 9 x - 18

- 1 - 8 i - 4 - i