What is \sqrt[3]{20000} ?

The solution to \sqrt[3]{20000} is 10\sqrt[3]{20}

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simplify \sqrt[3]{20000}

simplify

Decimal Notation

27.14417 \dots

Solution steps

Prime factorization of

20000 : 2^{5} \cdot 5^{4}

Apply exponent rule:

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

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

Apply radical rule:

Multiply the numbers:

2 \cdot 5 = 10

2^{2} = 4

Multiply the numbers:

4 \cdot 5 = 20

lo g_{5} (5^{x})

\frac{81}{24}

\frac{81}{12}

354 + 224

4 π (10)^{2}