(a^4 b)^4 (a^8 b^5) =

Question

I need to simplify my answer andd use positive exponents only.  I can not figure this out.

 

Answer 1

Hello Christy,

You need to use these rules of exponents

1.    (a^m)ⁿ = a^mn (power to power)

2.    (a^m)(aⁿ) = a^m+n (when base is same and there's multiplication you add the powers)

Problem : (a⁴ b)⁴ (a⁸ b⁵)

= a^4.4 b^1.4.a⁸.b⁵

= a¹⁶.b⁴.a⁸.b⁵

= a¹⁶⁺⁸.b⁴⁺⁵

= a²⁴b⁹ ----------> answer