What is [(-1/4)*5*(-3/2)*(-1/5)]^{-4} ?

The solution to [(-1/4)*5*(-3/2)*(-1/5)]^{-4} is 4096/81

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simplify [(-1/4)5(-3/2)*(-1/5)]^{-4}

simplify

[(- \frac{1}{4}) \cdot 5 \cdot (- \frac{3}{2}) \cdot (- \frac{1}{5})]^{- 4}

\frac{4096}{81}

Decimal Notation

50.56790 \dots

Solution steps

((- \frac{1}{4}) \cdot 5 (- \frac{3}{2}) (- \frac{1}{5}))^{- 4}

(- \frac{1}{4}) \cdot 5 (- \frac{3}{2}) (- \frac{1}{5}) = - \frac{3}{8} \cdot 5 \cdot \frac{1}{5}

= (- \frac{3}{8} \cdot 5 \cdot \frac{1}{5})^{- 4}

Apply exponent rule:

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

(- \frac{3}{8} \cdot 5 \cdot \frac{1}{5})^{- 4} = \frac{1}{( - \frac{3}{8} \cdot 5 \cdot \frac{1}{5} ) ^{4}}

= \frac{1}{( - \frac{3}{8} \cdot 5 \cdot \frac{1}{5} ) ^{4}}

(- \frac{3}{8} \cdot 5 \cdot \frac{1}{5})^{4} = \frac{81}{4096}

= \frac{1}{\frac{81}{4096}}

Apply the fraction rule:

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

= \frac{4096}{81}

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What is [(-1/4)*5*(-3/2)*(-1/5)]^{-4} ?
The solution to [(-1/4)*5*(-3/2)*(-1/5)]^{-4} is 4096/81