Question

Simplify the expression and eliminate any negative exponents, assuming that all letters denote positive numbers.

(x^6 * y)^(5/6) over (divided by)
(y^4)^(5/6)

Answer 1

is it this:
\(\huge \frac{(x^6y)^{5/6}}{(y^4)^{5/6}} \) ???

Answer 2

yes

Answer 3

use these properties:
\[ \large (ab)^n=a^nb^n \]
\[ \large \frac{a^m}{a^n}=a^{m-n}=\frac{1}{a^{n-m}} \]

Answer 4

also
\[ \large (a^n)^m=a^{n\times m} \]

Answer 5

all right. thanks!

Answer 6

first work on the numerator and tell me what u get

Answer 7

ok

Answer 8

Is this it? I know I don't need the one under x^15, but the equation maker thingy isn't working amazingly well.

\[\frac{ x^\frac{ 15 }{ 1 } }{ y^\frac{ 15 }{ 2 } }\]

Answer 9

I also have another question like this. I'll put it in a new question so I can give you another medal:P

Answer 10

wait.

Answer 11

ok

Answer 12

u got
\[ \large \frac{(x^6y)^{5/6}}{(y^4)^{5/6}}=\frac{(x^6)^{5/6}y^{5/6}}{(y^4)^{5/6}} \]

Answer 13

ok?

Answer 14

Yeah, that was my first step.

Answer 15

\[ \large =\frac{x^{6\times5/6}}{1}
\left(\frac{y}{y^4}\right)^{5/6} \]

Answer 16

i already got the answer, btw... i posted it a little earlier. sorry if you didn't see it!

Answer 17

bear with me

Answer 18

ok.

Answer 19

\[ \large =\frac{x^5}{1}\frac{1}{(y^3)^{5/6}}=
\frac{x^5}{1}\frac{1}{y^{3\times5/6}}=\frac{x^5}{y^{5/2}} \]

Answer 20

this is the answer

Answer 21

No, that's not right.

Answer 22

yes it is

Answer 23

No, it's not! one moment.

Answer 24

Starts from the middle in the picture, on the left. Its my work.

Answer 25

you posted 5/6 not 5/2

Answer 26

Oh god, I'm sorry! oops.