SOLUTION: i need help simplifying (2w)^3*(2w^2)^2 if u could would u work it out?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need help simplifying (2w)^3*(2w^2)^2 if u could would u work it out?      Log On


   

Question 177336: i need help simplifying (2w)^3*(2w^2)^2 if u could would u work it out?
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Aw%29%5E3+=+2%2Aw%2A2%2Aw%2A2%2Aw+=+8%2Aw%5E3
%282%2Aw%5E2%29%5E2+=+2%2Aw%5E2%2A2%2Aw%5E2+=+4%2Aw%5E4
8%2Aw%5E3%2A4%2Aw%5E4+=+32%2Aw%5E7
another way of looking at it is:
%282%2Aw%29%5E3+=+2%5E3%2Aw%5E3+=+8%2Aw%5E3
%282%2Aw%5E2%29%5E2+=+2%5E2%2A%28w%5E2%29%5E2+=+4%2Aw%5E4
8%2Aw%5E3%2A4%2Aw%5E4+=+32%2Aw%5E7
you are using basic rules of exponents.
%28a%2Ab%29%5Ec+=+a%5Ec+%2A+b%5Ec
%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29
a%5Eb%2Aa%5Ec+=+a%5E%28b%2Bc%29
you are also using basic rules of multiplication.
a%2Ab+=+b%2Aa