Question

5sqrt x^10
simplify using rational exponents.

Answer 1

sqrt(something) = (something)^(1/2) so u can write

5 (x^(1/2))^10 which is easy...

Answer 2

\[\sqrt[5]{x ^{10}?}\]

Answer 3

This is how the problem should look minus the ?

Answer 4

Oh the 5th root, well how was I supposed to know that...?

Anyway, same thing:

nthrt(something) = (something)^(1/n) so u can write (x^(1/5))^10 which is easy...

Answer 5

ok hang on would it be (x^10)^1/5 ?

Answer 6

Powers, makes no difference which way round u put them, you are multiplying.

Answer 7

\[(x ^{10})^{1/5}\]

Answer 8

The fifth root of x to the 10th is the same as the tenth root of x to the fifth.

Answer 9

http://www.wolframalpha.com/input/?i=fifth+root+of+x+to+the+power+10

Answer 10

ok I am really sorry , but is my answer right? I am confused

Answer 11

To simplify powers like (a^b)^c you multiply the exponents so a^(bc).

In this case, x^(10*1/5) = x^2

Answer 12

Got it?

Answer 13

Oh ok, Thank you so much!!!

Answer 14

U r welcome.