SOLUTION: Simplify then answer the question: If 9/(4/(2x)^-3) equals ax^b then.. a= b=

Algebra ->  Expressions -> SOLUTION: Simplify then answer the question: If 9/(4/(2x)^-3) equals ax^b then.. a= b=      Log On


   

Question 254098: Simplify then answer the question:
If 9/(4/(2x)^-3) equals ax^b
then..
a=
b=
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
Make the exponent positive and move it to the top of that fraction. Now you have 9%2F%284%282x%29%5E3%29=ax%5Eb
now calculate your exponent and you get 9%2F%284%288x%5E3%29%29=ax%5Eb
multiply and get 9%2F%2832x%5E3%29=ax%5Eb
If you look closely, you will see that we want a constant "a" multiplied by x to an exponent of b. Our "a" is going to be 9/32 and our b is going to be -3 because x^3 is on the bottom of the fraction
.
If you need more clarification, then email me at justin.sheppard.tech@hotmail.com
.
Justin