Question

simplify.
\sqrt{y^{12}}
assume that the variable represents a positive real num

Explanation:

Step1: Rewrite root as exponent

$\sqrt{y^{12}} = (y^{12})^{\frac{1}{2}}$

Step2: Apply exponent power rule

$(y^{12})^{\frac{1}{2}} = y^{12 \times \frac{1}{2}}$

Step3: Calculate the exponent

$y^{12 \times \frac{1}{2}} = y^6$

Answer:

$y^6$