Homework Help: Another problem to check..please check my work...

Posted by Margie on Monday, February 5, 2007 at 6:16pm.

(-2x^2y)^3*(5xy^3)^2=(-2x^2y)^3 = -8 x^6 y^3
*Is this correct.?

(-2x^2y)^3 * (5xy^3)^2 =

(-8x^6y^3) * (25x^2y^6) =

-200x^8y^9

When you have the same base, you add exponents when multiplying. For example, x^2 * x^3 = x^5.

When you have the same base, you multiply exponents when you have something like (x^2)^3. This would be x^6.

I hope this will help.

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