Question

How do you solve for a and b showing your work

Answer 1

Answer:

a) 4

b) $\frac{1}{2} \sqrt{y^5}$

Step-by-step explanation:

PART A

Simplify the expression by solving out the square roots.

$\frac{\sqrt{16} \sqrt{p} }{\sqrt{p}}$ = $\frac{4 \sqrt{p} }{\sqrt{p}}$

You can cancel out the $\sqrt{p}$ on the top and bottom.

So, a should be 4.

PART B

Solve out the square root. The square root is pretty much the 1/2 power, so you can divide the exponents by half.

$\frac{\sqrt{y^{10}} }{\sqrt{4y^{5}} }$ = $\frac{y^{5}}{2y^{\frac{5}{2}} }$

You can subtract exponents to divide them. So the y variable becomes $y^{5 - 5/2}$, or $y^{5/2}$.

Then, the overall expression is $\frac{1}{2} y^{\frac{5}{2} }$, or you can turn that into $\frac{1}{2} \sqrt{y^5}$.