What is \sqrt[3]{32000} ?

The solution to \sqrt[3]{32000} is 20\sqrt[3]{4}

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simplify \sqrt[3]{32000}

simplify

Decimal Notation

31.74802 \dots

Solution steps

Prime factorization of

32000 : 2^{8} \cdot 5^{3}

Apply exponent rule:

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

2^{8} \cdot 5^{3} = 2^{6} \cdot 2^{2} \cdot 5^{3}

Apply radical rule:

Multiply the numbers:

4 \cdot 5 = 20

2^{2} = 4

(x^{2} + 2 x - 2) (x^{2} + x + 10)

(- 4 d^{3}) (- 6 d^{4})

2^{\frac{5}{4}}

5 \cdot 21

ln (∣ x ∣)