3 square root-540x^15y^20 raise to the power or root. Assumethat all variables represent positive numbers.?????

Question

3 square root-540x^15y^20 raise to the power or root.  Assumethat all variables represent positive numbers.?????

anonymous · Answer

$$3\sqrt{-540x ^{15y ^{20}}}$$
is this correct?

anonymous · Answer

yes it is

anonymous · Answer

Here you can do a prime factorization on 540. You can pull out the two squares from that. Then you can also take the most x^2's that you can. For example, the most x^2's you can take out of x^15 is 14, and you have one left over.

anonymous · Answer

i do not understand

anonymous · Answer

Do you know how to do a prime factorization?

anonymous · Answer

no

anonymous · Answer

A prime factorization is essentially boiling down a large number into a product of prime numbers. Like so:
|dw:1343488835710:dw|
All of the numbers enclosed by the dotted line are the prime factors of 540. That means:
540 = 2 * 2 * 3 * 3 * 3 * 5