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Popular >

simplify \sqrt[10]{(22)^3}

Solution

simplify

Solution

2 2^{\frac{3}{10}}

+1

Decimal Notation

2.52770 \dots

Solution steps

Apply radical rule:

= ((22)^{3})^{\frac{1}{10}}

Apply exponent rule:

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

= (22)^{3 \cdot \frac{1}{10}}

3 \cdot \frac{1}{10} = \frac{3}{10}

= (22)^{\frac{3}{10}}

Remove parentheses:

(a) = a

= 2 2^{\frac{3}{10}}

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{(22)^3} ?
The solution to \sqrt[10]{(22)^3} is 22^{3/10}