Question

How do you simplify: square root y^13

Answer 1

y^(13/2)

Answer 2

The answer was listed as y6 square root y. I am lost on how they got this.

Answer 3

y^6square root y

Answer 4

hm that doesnt make much sense the square and the square root cancel each other out. so in your answer you wouldnt have a radical (square root)

Answer 5

We have this problem:
\[\sqrt{y^{13}}\]Recall that square rooting something is equal to halving its exponent. In other words, we are raising the y^13 to the one half power. Therefore our answer will be:
\[y^{13/2} = y^{6.5}\]Now, we can rewrite this using some basic exponents to get:
\[y^{6.5}=y^6 \times y^{.5}=y^6 \times \sqrt{y}\]