Question

Did I choose the right answer?

Answer 1

incorrect

change the radicals to fractional exponents
combine exponents by adding/subtracting

Answer 2

why not just solve it? see what you get

Answer 3

\[\frac{5^{1/3} 5^{1/2}}{5^{5/3}} = \frac{5^{1/3 + 1/2}}{5^{5/3}} = 5^{(1/3)+(1/2) -(5/3)}\]

Answer 4

How did you get that 1/2?

Answer 5

as dumbcow pointed out, \(\large {
a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad

\sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}} }\)

Answer 6

I get that and I did do that on my paper except why is there a 5 1/2 ? when all there is a is a radical 5

Answer 7

hmmm

those are meant to be exponents

Answer 8

\[\sqrt{a} = \sqrt[2]{a} = a^{1/2}\]

for square roots the "2" is left out

Answer 9

Is there always a 2 when there is nothing written?

Answer 10

yes

Answer 11

yap

Answer 12

Oh that clears it up real nice then

Answer 13

Well than you very much to both of you :)
I wish I could give a medal to both of you, but I'll give one to the one with less medals
Thanks again!