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Popular >

simplify \sqrt[8]{(4^3)}^7

Solution

simplify

Solution

+1

Decimal Notation

38.05462 \dots

Solution steps

= (4^{\frac{3}{8}})^{7}

Apply exponent rule:

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

= 4^{\frac{3}{8} \cdot 7}

\frac{3}{8} \cdot 7 = \frac{21}{8}

= 4^{\frac{21}{8}}

4^{\frac{21}{8}} = 2^{\frac{21}{4}}

= 2^{\frac{21}{4}}

2^{5} = 32

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{(4^3)}^7 ?
The solution to \sqrt[8]{(4^3)}^7 is 32\sqrt[4]{2}