SOLUTION: I was wondering if I could get a step by step example of (1/4)^-3/2 = non-negative number. The awnser that comes with the problem is 8, but no matter how I manipulate this I can n

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I was wondering if I could get a step by step example of (1/4)^-3/2 = non-negative number. The awnser that comes with the problem is 8, but no matter how I manipulate this I can n      Log On


   

Question 286583: I was wondering if I could get a step by step example of (1/4)^-3/2 = non-negative number. The awnser that comes with the problem is 8, but no matter how I manipulate this I can not get to that answer. Thank you!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
using laws of exponents ___ a^(-b) = 1 /(a^b)

for fractional exponents; think of the numerator (top) as a power, and the denominator (bottom) as a root

(1/4)^-3/2 is: the inverse of; the square root of one-quarter, cubed

1 / {[sqrt(1/4)]^3}

1 / [(1/2)^3]

1 / (1/8) = 8