SOLUTION: (-2m^6n)(3m^4)^2

Question 461433: (-2m^6n)(3m^4)^2
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Simplify (-2m^6n)(3m^4)^2.
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I want to make sure that I'm solving the problem you intended for me to solve. This is how your "computer-version" would look in a textbook:
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Let's take care of the exponent first. We use the Power Property for Exponents (When raising an exponential expression to a power, MULTIPLY the exponents, 4*2 = 8.) We square each number and variable inside the parentheses:

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Next, we multiply the coefficients together (-2*9 = -18). Then we multiply the variables together. It is important to notice that we have two variables here, m and n. We can only combine like terms. We use the Product Property for Exponents to multiply m^6 by m^8. (When multiplying exponential expressions together, ADD the exponents, 6 + 8 = 14.) We cannot multiply n by anything since it has no like terms in this expression. We get

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Hope this helps!
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Ms. Figgy
math-in-the-vortex

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