What is \sqrt[3]{324000} ?

The solution to \sqrt[3]{324000} is 30\sqrt[3]{12}

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simplify \sqrt[3]{324000}

simplify

Decimal Notation

68.68285 \dots

Solution steps

Prime factorization of

324000 : 2^{5} \cdot 3^{4} \cdot 5^{3}

Apply exponent rule:

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

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

Apply radical rule:

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

2^{2} = 4

Multiply the numbers:

4 \cdot 3 = 12

(z + 4)^{2}

x (2 y - 5 z + 1)

6 x^{2} + 14 x - 9 x

(7 x)^{- 2}

\frac{( 5 - x )}{x ^{2} - 25}