What is \sqrt[3]{(-27)^2}*sqrt((4)^{-5)} ?

The solution to \sqrt[3]{(-27)^2}*sqrt((4)^{-5)} is 9/32

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simplify \sqrt[3]{(-27)^2}*sqrt((4)^{-5)}

simplify

\frac{9}{32}

Decimal Notation

0.28125

Solution steps

= 9 4^{- 5}

4^{- 5} = \frac{1}{1024}

= 9 \frac{1}{1024}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{1}{1024} = \frac{1}{1024}

= 9 \cdot \frac{1}{1024}

Apply radical rule:

1 = 1

1 = 1

= 9 \cdot \frac{1}{1024}

1024 = 32

= 9 \cdot \frac{1}{32}

9 \cdot \frac{1}{32} = \frac{9}{32}

= \frac{9}{32}

(\frac{2}{3})^{- 2} \cdot (\frac{2}{3})^{- 3}

2 (x - y) + 4 x

(1 + 2 i) (1 + 2 i)

(x - 2)^{- 1} - (x + 3)^{- 1}

(10 c^{6} d^{- 5}) (2 c^{- 5} d^{4})

What is \sqrt[3]{(-27)^2}*sqrt((4)^{-5)} ?
The solution to \sqrt[3]{(-27)^2}*sqrt((4)^{-5)} is 9/32