What is ((10^6)/(4^6))^{-1/6} ?

The solution to ((10^6)/(4^6))^{-1/6} is 2/5

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simplify ((10^6)/(4^6))^{-1/6}

simplify

(\frac{1 0 ^{6}}{4 ^{6}})^{- \frac{1}{6}}

\frac{2}{5}

Solution steps

(\frac{1 0 ^{6}}{4 ^{6}})^{- \frac{1}{6}}

Apply exponent rule:

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

(\frac{1 0 ^{6}}{4 ^{6}})^{- \frac{1}{6}} = \frac{1}{( \frac{1 0 ^{6}}{4 ^{6}} ) ^{\frac{1}{6}}}

= \frac{1}{( \frac{1 0 ^{6}}{4 ^{6}} ) ^{\frac{1}{6}}}

(\frac{1 0 ^{6}}{4 ^{6}})^{\frac{1}{6}} = \frac{5}{2}

= \frac{1}{\frac{5}{2}}

Apply the fraction rule:

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

= \frac{2}{5}

n^{2} - 46 n + 88

1 - a^{2} b^{4}

3 x^{2} - 7 x + 14 \geq 10

\frac{53}{2} \times \frac{2}{61}

\frac{3}{4} x - 2 \leq 2 x + 1 \leq \frac{1}{4} x + 2