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Popular >

simplify \sqrt[5]{(1/2)}^{10}

Solution

simplify

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

Apply rule:

(a) = a

(\frac{1}{2}) = \frac{1}{2}

Rewrite

10

as

5 \cdot 2

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

Apply exponent rule:

= (\frac{1}{2})^{2}

Apply exponent rule:

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

= \frac{1 ^{2}}{2 ^{2}}

1^{2} = 1

= \frac{1}{2 ^{2}}

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{(1/2)}^{10} ?
The solution to \sqrt[5]{(1/2)}^{10} is 1/4