What is \sqrt[3]{20^2} ?

The solution to \sqrt[3]{20^2} is 2\sqrt[3]{50}

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simplify \sqrt[3]{20^2}

simplify

Decimal Notation

7.36806 \dots

Solution steps

2 0^{2} = 400

Prime factorization of

400 : 2^{4} \cdot 5^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{4} \cdot 5^{2} = 2^{3} \cdot 2 \cdot 5^{2}

Apply radical rule:

5^{2} = 25

Multiply the numbers:

2 \cdot 25 = 50

1 0^{- 8}

- e^{- 1^{2}}

3.1 \times 1 0^{- 7}

2 x

- 3 e^{- 1}