What is (-(1/36)^{1/8})/((6)^{-5/4)} ?

The solution to (-(1/36)^{1/8})/((6)^{-5/4)} is -6

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simplify (-(1/36)^{1/8})/((6)^{-5/4)}

simplify

\frac{- ( \frac{1}{36} ) ^{\frac{1}{8}}}{( 6 ) ^{- \frac{5}{4}}}

- 6

Solution steps

\frac{- ( \frac{1}{36} ) ^{\frac{1}{8}}}{6 ^{- \frac{5}{4}}}

Apply the fraction rule:

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

= - \frac{( \frac{1}{36} ) ^{\frac{1}{8}}}{6 ^{- \frac{5}{4}}}

(\frac{1}{36})^{\frac{1}{8}} = \frac{1}{6 ^{\frac{1}{4}}}

= - \frac{\frac{1}{6 ^{\frac{1}{4}}}}{6 ^{- \frac{5}{4}}}

6^{- \frac{5}{4}} = \frac{1}{6 \cdot 6 ^{\frac{1}{4}}}

= - \frac{\frac{1}{6 ^{\frac{1}{4}}}}{\frac{1}{6 \cdot 6 ^{\frac{1}{4}}}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

\frac{\frac{1}{6 ^{\frac{1}{4}}}}{\frac{1}{6 \cdot 6 ^{\frac{1}{4}}}} = \frac{1 \cdot 6 \cdot 6 ^{\frac{1}{4}}}{6 ^{\frac{1}{4}} \cdot 1}

= - \frac{1 \cdot 6 \cdot 6 ^{\frac{1}{4}}}{6 ^{\frac{1}{4}} \cdot 1}

Cancel

- \frac{1 \cdot 6 \cdot 6 ^{\frac{1}{4}}}{6 ^{\frac{1}{4}} \cdot 1} : - 6

= - 6

\frac{\frac{7}{2}}{\frac{7}{2} - 3}

x^{2} + 12 x = 7 x + 1

2 x^{2} - 8 x y - 42 y^{2}

\frac{1}{3 ( 0 ) ^{\frac{2}{3}}}

\frac{x - 8}{x + 3} > 0

What is (-(1/36)^{1/8})/((6)^{-5/4)} ?
The solution to (-(1/36)^{1/8})/((6)^{-5/4)} is -6