Question

Simplify the given expression to radical form, justify each step by identifying the properties of rational exponents used. All work must be shown.

Answer 1

@hartnn

Answer 2

\(\huge \dfrac{x^m}{x^n}=x^{m-n}\)

Answer 3

\(\huge \dfrac{x^{(2/3)}}{x^{(4/9)}}=...?\)

Answer 4

treat m as 2/3 and n as 4/9

Answer 5

So it would be.. x2 over 9 ?

Answer 6

yes! good :)
\(\huge x^{2/9}\)

Answer 7

now idk how to justify it ..

Answer 8

justify means ? what you wanted to do ?
the reson for that step is standard exponent arithmetic,
\(\huge \dfrac{x^m}{x^n}=x^{m-n}\)