SOLUTION: (−4mn^6)(−5m^3n^2)^2 my answer was -100 m^10 n^10

Question 712740: (−4mn^6)(−5m^3n^2)^2

my answer was
-100 m^10 n^10
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Your error was in squaring . According to one rule of exponents, you raise a single term, like , to a power by raising each factor to that power. So according to this rule:

becomes

Squaring the -5 is easy. To square the powers of m and n we use another rule of exponents: Multiply the exponents! (This is where you went wrong. You apparently squared the 3 and got 9 and squared the 2 and got 4.) So we should get:

With properly simplified to we can now multiply it by giving us:

P.S. Your answer has n to the right power. But it is only a lucky accident that squaring the exponent of 2 (which you should not have done) works out the same as multiplying the exponents of 2 (which you should have done)!

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SOLUTION: (&#8722;4mn^6)(&#8722;5m^3n^2)^2 my answer was -100 m^10 n^10

SOLUTION: (−4mn^6)(−5m^3n^2)^2 my answer was -100 m^10 n^10