SOLUTION: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. 3√80a^7b^5 / 3√10a^5b^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. 3√80a^7b^5 / 3√10a^5b^4       Log On


   



Question 128255: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers.
3√80a^7b^5 / 3√10a^5b^4

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
3sqrt(80)a^7b^5/3sqrt(10)a^5b^4
=sqrt(80)a^2b/sqrt(10) The 3's cancel subtract exponents when dividing.
=4sqrt(5)a^2b/sqrt(5*2)
=4a^2b/sqrt(2)
=4sqrt(2)a^2b/2 Multiply by sqrt(2)/sqrt(2)
=2sqrt(2)a^2b
.
Ed