Simplify -2 cube root of 64+-5^2

$- 2 \sqrt[3]{64} + - 5^{2}$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$- 2 \sqrt[3]{64} - 5^{2}$

Step 2

Simplify each term.

Rewrite $64$ as $4^{3}$ .

$- 2 \sqrt[3]{4^{3}} - 5^{2}$

Pull terms out from under the radical, assuming real numbers.

$- 2 \cdot 4 - 5^{2}$

Multiply $- 2$ by $4$ .

$- 8 - 5^{2}$

Raise $5$ to the power of $2$ .

$- 8 - 1 \cdot 25$

Multiply $- 1$ by $25$ .

$- 8 - 25$

Step 3

Subtract $25$ from $- 8$ .

$- 33$

Simplify -2 cube root of 64+-5^2

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