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Popular >

simplify \sqrt[3]{(21600)^2}

Solution

simplify

Solution

36 \cdot 10 0^{\frac{2}{3}}

+1

Decimal Notation

775.59648 \dots

Solution steps

Apply radical rule:

= ((21600)^{2})^{\frac{1}{3}}

Apply exponent rule:

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

= (21600)^{2 \cdot \frac{1}{3}}

2 \cdot \frac{1}{3} = \frac{2}{3}

= (21600)^{\frac{2}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 6^{2} \cdot 10 0^{\frac{2}{3}}

6^{2} = 36

= 36 \cdot 10 0^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(21600)^2} ?
The solution to \sqrt[3]{(21600)^2} is 36*100^{2/3}