Basic Math Examples

$4 (2^{3} + 3^{2}) - 8 \sqrt{64}$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise $2$ to the power of $3$ .

$4 (8 + 3^{2}) - 8 \sqrt{64}$

Step 1.1.2

Raise $3$ to the power of $2$ .

$4 (8 + 9) - 8 \sqrt{64}$

Step 1.2

Add $8$ and $9$ .

$4 \cdot 17 - 8 \sqrt{64}$

Step 1.3

Multiply $4$ by $17$ .

$68 - 8 \sqrt{64}$

Step 1.4

Rewrite $64$ as $8^{2}$ .

$68 - 8 \sqrt{8^{2}}$

Step 1.5

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

$68 - 8 \cdot 8$

Step 1.6

Multiply $- 8$ by $8$ .

$68 - 64$

Step 2

Subtract $64$ from $68$ .

$4$