How do you simplify sqrt(169x^4y^7)?

May 5, 2018

$13 {x}^{2} {y}^{\frac{7}{2}}$

Explanation:

Square root is essentially raising what's in the radical to the 1/2 power, so:

${\left(169 {x}^{4} {y}^{7}\right)}^{\frac{1}{2}}$

So now, just simplify:

${169}^{\frac{1}{2}}$=13

${x}^{4 \cdot \frac{1}{2} = 2} = {x}^{2}$

${y}^{7 \cdot \frac{1}{2} = \frac{7}{2}} = {y}^{\frac{7}{2}}$

And now put it all together....

$13 {x}^{2} {y}^{\frac{7}{2}}$

Hope this helped!!!