Concepts 1. axxay=ax+y, thus if the bases are the same and multiplying, add the powers 2. (ax×by)n=ax×n×by×n, thus the outside power multiplies all the powers inside Applying these two concepts, (2ab2)2=21×2a1×2b2×2=22a2b4=4a2b4 NOTE: Every number or letter is raised to the power 1 , which has no effect, hence 2=21 and a=a1 ⇒(2ab2)2×3a3b=4a2b4×3a3b Simplifying the numbers and the ones with the same bases ⇒4a2b4×3a3b=4×3×a2×a3b4xb Applying concept 1,axxay=ax+y ⇒4×3×a2×a3b4xb=12a2+3b4+1=12a5b5 NOTE: b=b1⇒b4xb=b4xb1=b4+1=b5