SOLUTION: Evaluate: {{{a^-2b^3}}} if a= -3 and b= -2 I'm not sure how to do this correctly, so it would be great if you could explain it. Thank you ^_^

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Evaluate: {{{a^-2b^3}}} if a= -3 and b= -2 I'm not sure how to do this correctly, so it would be great if you could explain it. Thank you ^_^      Log On


   



Question 188162: Evaluate: a%5E-2b%5E3 if a= -3 and b= -2
I'm not sure how to do this correctly, so it would be great if you could explain it.
Thank you ^_^

Found 2 solutions by Alan3354, vleith:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate: a%5E-2b%5E3 if a= -3 and b= -2
I'm not sure how to do this correctly, so it would be great if you could explain it.
----------------
Sub -3 for a and -2 for b.
a%5E-2b%5E3
=%28-3%29%5E-2%2A%28-2%29%5E3
= +1/9*(-8)
= -8/9
----------
If it's easier to see, do a and b separately.
a%5E-2
= %28-3%29%5E-2
= 1%2F%283%5E2%29
= 1/9
----------
b%5E3
= %28-2%29%5E3%29
= -8
Then multiply them --> - 8/9

any questions email me via the thank you note

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E%28-2%29b%5E3 when a= -3 and b= -2
b%5E3%2F+a%5E2
%28-2%29%5E3+%2F+%28-3%29%5E2+
%28%28-2%29%2A%28-2%29%2A%28-2%29%29+%2F+%28%28-3%29%2A%28-3%29%29
-8%2F9