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Popular >

simplify \sqrt[8]{7^4}

Solution

simplify

8 7^{4}

Solution

7

+1

Decimal

2.64575 \dots

Solution steps

8 7^{4}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (7^{4})^{\frac{1}{8}}

Apply exponent rule:

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

= 7^{4 \cdot \frac{1}{8}}

4 \cdot \frac{1}{8} = \frac{1}{2}

= 7^{\frac{1}{2}}

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

= 7

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{7^4} ?
The solution to \sqrt[8]{7^4} is square root of 7