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Popular >

simplify (\sqrt[7]{2^3})^4

Solution

simplify

Solution

2 \cdot 2^{\frac{5}{7}}

+1

Decimal Notation

3.28134 \dots

Solution steps

= (2^{\frac{3}{7}})^{4}

Apply exponent rule:

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

= 2^{\frac{3}{7} \cdot 4}

\frac{3}{7} \cdot 4 = \frac{12}{7}

= 2^{\frac{12}{7}}

2^{\frac{12}{7}} = 2 \cdot 2^{\frac{5}{7}}

= 2 \cdot 2^{\frac{5}{7}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[7]{2^3})^4 ?
The solution to (\sqrt[7]{2^3})^4 is 2*2^{5/7}