What is \sqrt[3]{80000} ?

The solution to \sqrt[3]{80000} is 20\sqrt[3]{10}

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simplify \sqrt[3]{80000}

simplify

Decimal Notation

43.08869 \dots

Solution steps

Prime factorization of

80000 : 2^{7} \cdot 5^{4}

Apply exponent rule:

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

2^{7} \cdot 5^{4} = 2^{6} \cdot 2 \cdot 5^{3} \cdot 5

Apply radical rule:

Multiply the numbers:

4 \cdot 5 = 20

Multiply the numbers:

2 \cdot 5 = 10

\frac{- 5 + 1}{2}

- 32 \cdot 3

p + p

lo g_{2} (\frac{32000}{32000})

z + z