Simplify (4^3 square root of 4)/3

$\frac{4^{3} \sqrt{4}}{3}$

Step 1

Simplify the numerator.

Raise $4$ to the power of $3$ .

$\frac{64 \sqrt{4}}{3}$

Rewrite $4$ as $2^{2}$ .

$\frac{64 \sqrt{2^{2}}}{3}$

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

$\frac{64 \cdot 2}{3}$

Step 2

Multiply $64$ by $2$ .

$\frac{128}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{128}{3}$

Decimal Form:

$42.\overline{6}$

Mixed Number Form:

$42 \frac{2}{3}$