SOLUTION: if someone could help me with this one also. i hope that i can enter this on the screen correctly. i'm supposed to simplify this expression. Thank you in advance. (6a^2/7b^3)^-2

Algebra ->  Expressions -> SOLUTION: if someone could help me with this one also. i hope that i can enter this on the screen correctly. i'm supposed to simplify this expression. Thank you in advance. (6a^2/7b^3)^-2      Log On


   

Question 143719: if someone could help me with this one also. i hope that i can enter this on the screen correctly. i'm supposed to simplify this expression. Thank you in advance.
(6a^2/7b^3)^-2
Found 2 solutions by rapaljer, checkley77:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Raising a fraction to the -2 power just means to INVERT the fraction, and SQUARE it.

%28%286a%5E2%29%2F%287b%5E3%29%29%5E-2
+%28%287b%5E3%29%2F%286a%5E2%29%29%5E2
+%2849b%5E6%29%2F%2836a%5E4%29+

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R^2

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(6a^2/7b^3)^-2
lets break this problem into its various parts:
6^-2=1/6*6=1/36
a^(2-2)=a^0=1
1/7^-2=7*7=49
1/b^[3-2)=1/b^1=1/b
now combinming these pieces we get;
1/36*1*49*1/b=49/36b answer.