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Bess [88]
4 years ago
8

How do you solve for a and b showing your work

Mathematics
1 answer:
Mariulka [41]4 years ago
5 0

Answer:

a) 4

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

Step-by-step explanation:

<u>PART A</u>

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.

<u>PART B</u>

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}.

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