Question

simplify the expression below:
$(16x^{4}y^{6}z^{8})^{\frac{1}{2}}$

Explanation:

Step1: Apply power to each term

$(16)^{\frac{1}{2}} \cdot (x^4)^{\frac{1}{2}} \cdot (y^6)^{\frac{1}{2}} \cdot (z^8)^{\frac{1}{2}}$

Step2: Simplify constant term

$\sqrt{16} = 4$

Step3: Simplify variable terms

$x^{4 \cdot \frac{1}{2}} = x^2$, $y^{6 \cdot \frac{1}{2}} = y^3$, $z^{8 \cdot \frac{1}{2}} = z^4$

Step4: Combine all simplified terms

$4 \cdot x^2 \cdot y^3 \cdot z^4$

Answer:

$4x^2y^3z^4$