((y^13×y^(-2))/(y^8×y^(-5) ))^(1/2)
You asked:
Evaluate the expression: \({\left( \frac{{y}^{13} {y}^{-2}}{{y}^{8} {y}^{-5}} \right)}^{\frac{1}{2}}\)
MathBot Answer:
\[{\left( \frac{{y}^{13} {y}^{-2}}{{y}^{8} {y}^{-5}} \right)}^{\frac{1}{2}} = \sqrt{y^{8}}\]
If the variable\(y\) is real, then: \[\sqrt{y^{8}} = \left|{y^{4}}\right|\]