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Popular >

simplify \sqrt[20]{64^3}

Solution

simplify

Solution

6 4^{\frac{3}{20}}

+1

Decimal Notation

1.86606 \dots

Solution steps

Apply radical rule:

= (6 4^{3})^{\frac{1}{20}}

Apply exponent rule:

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

= 6 4^{3 \cdot \frac{1}{20}}

3 \cdot \frac{1}{20} = \frac{3}{20}

= 6 4^{\frac{3}{20}}

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Frequently Asked Questions (FAQ)

What is \sqrt[20]{64^3} ?
The solution to \sqrt[20]{64^3} is 64^{3/20}