SOLUTION: I have done the following problems and just wanted to know if I am doing them correct: {{{(x^5y^6)^2(x^3y^-2)^-1}}} I got: {{{x^7y^10}}} {{{(a^-2/b^3)^5(b^-3/a^4

Algebra ->  Exponents -> SOLUTION: I have done the following problems and just wanted to know if I am doing them correct: {{{(x^5y^6)^2(x^3y^-2)^-1}}} I got: {{{x^7y^10}}} {{{(a^-2/b^3)^5(b^-3/a^4      Log On


   

Question 342478: I have done the following problems and just wanted to know if I am doing them
correct:

%28x%5E5y%5E6%29%5E2%28x%5E3y%5E-2%29%5E-1
I got:
x%5E7y%5E10


%28a%5E-2%2Fb%5E3%29%5E5%28b%5E-3%2Fa%5E4%29%5E-2
I got:
1%2Fa%5E2b%5E9

%28-30a%5E19%29%28-10a%5E17%29
I got:
300a%5E36

Thanks a lot!!!
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

(1/2) right, (1/2) wrong.
.
.
.

Good work!
.
.
.

%28-30a%5E19%29%28-10a%5E17%29=300a%5E%2819%2B17%29=300a%5E36
Good work!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E5y%5E6%29%5E2%28x%5E3y%5E-2%29%5E-1
= x%5E10y%5E12%2F%28x%5E3y%5E-2%29
= x%5E7y%5E14
----------------------------
I got:
x%5E7y%5E10
---------------------------
---------------------------
%28a%5E-2%2Fb%5E3%29%5E5%28b%5E-3%2Fa%5E4%29%5E-2
= %28a%5E-2b%5E-3%29%5E5+%2A+%28b%5E-3a%5E-4%29%5E-2
= %28a%5E-10b%5E-15%29%2A%28b%5E6a%5E8%29
= a%5E-2b%5E-9
= 1%2F%28a%5E2b%5E9%29
I got:
1%2Fa%5E2b%5E9
----------------------------
----------------------------
%28-30a%5E19%29%28-10a%5E17%29
I got:
300a%5E36
OK