SOLUTION: I REALLY need help for the following problem. 1.5m^6(-2m^2)^4. The solution to this is hidden in a multiple choice problem and none of the answers I've calculated ad up to the poss

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: I REALLY need help for the following problem. 1.5m^6(-2m^2)^4. The solution to this is hidden in a multiple choice problem and none of the answers I've calculated ad up to the poss      Log On

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Question 22996: I REALLY need help for the following problem. 1.5m^6(-2m^2)^4. The solution to this is hidden in a multiple choice problem and none of the answers I've calculated ad up to the possible answers I need to pick from. Help would be appreciated and thank you in advance!
Found 2 solutions by rapaljer, AnlytcPhil:
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
PLEASE NOTE: I made a TERRIBLE error in this problem, now corrected thanks to the CORRECT solution by AnyltcPhil. Thanks Phil.
1.5m%5E6%28-2m%5E2%29%5E4
%283%2F2%29m%5E6%2A16m%5E8

Notice that %283%2F2%29%2A16=+3%2A8=+24
24m%5E14

Does that match up to any of your multiple choice answers?

R^2 at SCC

Answer by AnlytcPhil(1116) About Me  (Show Source):
You can put this solution on YOUR website!

1.5m6(-2m2)4

Use the rule (AB)N = ANBN

1.5m6(-2)4(m2)4

Use the fact that (-2)4 = +16 and the fact that
(m2)4 = m8

1.5m6(16)m8

Rearrange the factors so that the numbers come first

1.5(16)m6m8

Multiply 1.5 by 16 and get 24

24m6m8

Add the exponents of m6 and m8 and get m14

24m14

Edwin
AnlytcPhil@aol.com