What is \sqrt[3]{100^2} ?

The solution to \sqrt[3]{100^2} is 10\sqrt[3]{10}

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simplify \sqrt[3]{100^2}

simplify

Decimal Notation

21.54434 \dots

Solution steps

10 0^{2} = 10000

Prime factorization of

10000 : 2^{4} \cdot 5^{4}

Apply exponent rule:

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

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

Apply radical rule:

Multiply the numbers:

2 \cdot 5 = 10

(x - 3)^{2} (x - 5)^{2}

e^{- 1.05}

(e^{x} + 1) (e^{x} + 1)

((- 2))^{2}