SOLUTION: I have been asked to solve (64/81) ^-1/2 = a/b where a= ? b= ? AND (1/1000) ^1/3= ? I am not sure what they are asking me to do? Could someone please help me understand w

Algebra ->  Exponents -> SOLUTION: I have been asked to solve (64/81) ^-1/2 = a/b where a= ? b= ? AND (1/1000) ^1/3= ? I am not sure what they are asking me to do? Could someone please help me understand w      Log On


   

Question 223987: I have been asked to solve (64/81) ^-1/2 = a/b where a= ? b= ?
AND
(1/1000) ^1/3= ?
I am not sure what they are asking me to do? Could someone please help me understand what is being asked of me? Thanks!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
%2864%2F81%29%5E%28-1%2F2%29
By applying "exponent rules" we can make it positive by moving it to the denominator:
1%2F%2864%2F81%29%5E%281%2F2%29
And, of course, an exponent of 1/2 is actually a "square root":
1%2Fsqrt%2864%2F81%29
1%2F%288%2F9%29
9%2F8%29
.
.
.
%281%2F1000%29%5E%281%2F3%29
Anything raised to the 1/3 power is actually a "cube root"
%281%2F1000%29%5E%281%2F3%29+=++1%2F10