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Popular >

simplify (\sqrt[5]{-243/32})^4

Solution

simplify

Solution

\frac{81}{16}

+1

Decimal Notation

5.0625

Solution steps

= (- \frac{3}{2})^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- \frac{3}{2})^{4} = (\frac{3}{2})^{4}

= (\frac{3}{2})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{3 ^{4}}{2 ^{4}}

3^{4} = 81

= \frac{81}{2 ^{4}}

2^{4} = 16

= \frac{81}{16}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{-243/32})^4 ?
The solution to (\sqrt[5]{-243/32})^4 is 81/16