Question

How do you rationalize the denominator & simplify: variable with exponents of `(9w^9)/(4 sqrt(2z^7))`?

Answer 1

`(9w^9)/(4sqrt(2z^7))*(sqrt(2z^7))/(sqrt(2z^7))`

`=(9w^9*2^(1/2)*z^(7/2))/(4*2*z^7)`

`=(9w^9*2^(1/2)*z^(7/2))/(8*z^7)`

`=9/8*w^9*sqrt(2)*z^(7/2-7)`