Question

Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers.

3√125x^11/y^3

Answer 1

I got
457763671875√5x11/2 / y^3

Answer 2

the cube root of y^3 is y
the cubed root of 125 is 5
so you have
\[\frac{5\sqrt{x^{11}}}{y}\] as a start

Answer 3

then for
\[\sqrt[3]{x^{11}}\] you think "3 goes in to 11 3 times with a remainder of 2, so x^3 comes out and x^2 stays in for a "final answer" of
\[\frac{5x^3\sqrt[3]{x^2}}{y}\]

Answer 4

is that a 3 ??

Answer 5

Here is what satellite wrote in his last post but it's magnified a bit

\[\LARGE \frac{5x^3\sqrt[3]{x^2}}{y}\]

Answer 6

Thank you