What is 8\sqrt[3]{-16} ?

The solution to 8\sqrt[3]{-16} is -16\sqrt[3]{2}

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simplify 8\sqrt[3]{-16}

simplify

Decimal Notation

- 20.15873 \dots

Solution steps

Apply radical rule:

n

is odd

Remove parentheses:

Prime factorization of

16 : 2^{4}

Apply exponent rule:

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

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

Apply radical rule:

Multiply the numbers:

- 8 \cdot 2 = - 16

- 6 \cdot - 6

\frac{3}{4} + \frac{2}{6}

- \frac{2}{5} + \frac{1}{10}

(\frac{b ^{8}}{b ^{4}})^{2}