Pre-Algebra Examples

$2^{4 \sqrt{16 x^{4 y^{8}}}}$

Step 1

Rewrite $16 x^{4 y^{8}}$ as ${(4 x^{2 y^{8}})}^{2}$ .

$2^{4 \sqrt{{(4 x^{2 y^{8}})}^{2}}}$

Step 2

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

$2^{4 (4 x^{2 y^{8}})}$

Step 3

Multiply $4$ by $4$ .

$2^{16 x^{2 y^{8}}}$