True or False question about simplification?

True or False?





The simplified form of a^5 sqrt 32 a^15 b^10 is 2a^4 b^2True or False question about simplification?
False;





I'm not sure if you meant a^5*(32a^15*b^10)^(1/2) or a^5*32^.5*a^15*b^10; but it doesn't matter; there's no way that what you have or anything similar to it simplifies to 2a^4b^2;





I mean when you multiply things you add exponents; and in the first one we already have a^5; that can't suddenly become a^4 without any division.True or False question about simplification?
This is: a^5 * sqrt(32 * a^15 * b^10), correct?





If so, the simplified form cannot be 2a^4 * b^2, because if you choose a=b=1, sqrt(32) doesn't equal 2.





So these equations are not the same.