Question

simplify.
\\(\sqrt{16z^{16}}\\)
assume that the variable z represents a positive real number.

Explanation:

Step1: Split root into product

$\sqrt{16z^{16}} = \sqrt{16} \cdot \sqrt{z^{16}}$

Step2: Simplify square root of 16

$\sqrt{16} = 4$

Step3: Simplify root of variable term

$\sqrt{z^{16}} = z^{\frac{16}{2}} = z^8$

Step4: Multiply the simplified terms

$4 \cdot z^8$

Answer:

$4z^8$