SOLUTION: Write each expression in power form ax^b for numbers a and b. 24/(2√x)^3 For some odd reason I keep getting this wrong. The book says 3x^-3/2, but when I get I get 3/x^

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Write each expression in power form ax^b for numbers a and b. 24/(2√x)^3 For some odd reason I keep getting this wrong. The book says 3x^-3/2, but when I get I get 3/x^      Log On


   

Question 890435: Write each expression in power form ax^b for numbers a and b.
24/(2√x)^3
For some odd reason I keep getting this wrong. The book says 3x^-3/2, but when I get I get 3/x^3/2. What am I doing wrong?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with, highlight_green%2824%2F%282sqrt%28x%29%29%5E3%29

24%2F%282%5E3%2A%28sqrt%28x%29%29%5E3%29

%2824%2F2%5E3%29%2F%28sqrt%28x%29%29%5E3

%282%5E3%2A3%2F2%5E3%29%2F%28x%5E%281%2F2%29%29%5E3

%28cross%282%5E3%29%2A3%2Fcross%282%5E3%29%29%2F%28x%5E%281%2F2%29%29%5E3

3%2F%28x%5E%281%2F2%29%29%5E3

3%2A%28x%5E%281%2F2%29%29%5E%28-3%29

highlight%283%2Ax%5E%28-3%2F2%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Write each expression in power form ax^b for numbers a and b.
24/(2√x)^3
For some odd reason I keep getting this wrong. The book says 3x^-3/2, but when I get I get 3/x^3/2. What am I doing wrong?


Your answer is correct, somewhat. It's correct, but it's not in the form that is requested. The form requested is: ax%5Eb

Yours is highlight%283%2Fx%5E%283%2F2%29%29, which is the same as: %283%2F1%29+%2A+%281%2Fx%5E%283%2F2%29%29, and since 1%2Fx%5E%283%2F2%29 is the same as x%5E%28-+3%2F2%29, we get:

%283%2F1%29+%2A+%28x%5E%28-+3%2F2%29%29, which also equals: highlight_green%28highlight_green%283x%5E%28-+3%2F2%29%29%29

If this is NOT CLEAR enough, say so in the thank you note, and I'll send something more legible.