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Popular >

simplify \sqrt[8]{70^6}

Solution

simplify

8 7 0^{6}

Solution

7 0^{\frac{3}{4}}

+1

Decimal

24.20045 \dots

Solution steps

8 7 0^{6}

Apply radical rule:

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

= (7 0^{6})^{\frac{1}{8}}

Apply exponent rule:

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

= 7 0^{6 \cdot \frac{1}{8}}

6 \cdot \frac{1}{8} = \frac{3}{4}

= 7 0^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{70^6} ?
The solution to \sqrt[8]{70^6} is 70^{3/4}