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Popular >

simplify \sqrt[4]{(4/9)}^8

Solution

simplify

Solution

\frac{16}{81}

+1

Solution steps

Apply rule:

(a) = a

(\frac{4}{9}) = \frac{4}{9}

Rewrite

8

as

4 \cdot 2

Apply exponent rule:

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

Apply exponent rule:

= (\frac{4}{9})^{2}

Apply exponent rule:

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

= \frac{4 ^{2}}{9 ^{2}}

4^{2} = 16

= \frac{16}{9 ^{2}}

9^{2} = 81

= \frac{16}{81}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(4/9)}^8 ?
The solution to \sqrt[4]{(4/9)}^8 is 16/81