SOLUTION: 1. Use the laws on exponents for multiplication and division in simplifying the following: a) 12m3 ● 6m7 b) (6x4 + x3)x5 c) (5y)4 d) 2x-2y4z3 8x3yz

Algebra ->  Exponents -> SOLUTION: 1. Use the laws on exponents for multiplication and division in simplifying the following: a) 12m3 ● 6m7 b) (6x4 + x3)x5 c) (5y)4 d) 2x-2y4z3 8x3yz      Log On


   

Question 623084: 1. Use the laws on exponents for multiplication and division in simplifying the following:
a) 12m3 ● 6m7
b) (6x4 + x3)x5
c) (5y)4

d) 2x-2y4z3
8x3yz3
e) (m.1/3)12

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. Use the laws on exponents for multiplication and division in simplifying the following:
;
a) 12m^3 ● 6m^7 = 72m^10; add exponents when you multiply
:
b) (6x^4 + x^3)x^5 = 6x^9 + x^8
:
c) (5y)^4 = 5^4*y^4 = 625y^4
:
d) %282x%5E%28-2%29y%5E4z%5E3%29%2F%288x%5E3yz%5E3%29
%28x%5E%28-2%29y%5E4z%5E3%29%2F%284x%5E3yz%5E3%29; divided the 2 into 8
Subtract exponents when you divide, we want our solution to have positive exponents
%28y%5E%28%284-1%29%29z%5E%28%283-3%29%29%29%2F%284x%5E%28%283%2B2%29%29%29 =%28y%5E3%2Ay%5E0%29%2F%284x%5E5%29 = %28y%5E3%2A1%29%2F%284x%5E5%29 = %28y%5E3%29%2F%284x%5E5%29
:
e) %28m%5E%281%2F3%29%29%5E12 = m%5E%28%281%2F3%29%2A12%29 =m%5E4; when you raise one exponent to another exponent, you multiply