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

Question

anonymous · Answer

attachment

ganeshie8 · Answer

use 'quotient of power property'

ganeshie8 · Answer

quotient of power property :-
to take quotient of two powers of same base, subtract their exponents.

$\large \color{red}{\frac{a^m}{a^n} = a^{m-n}}$

anonymous · Answer

x^2/3 - 4/9

ganeshie8 · Answer

Yup ! now make the denominators same and simplify the expoentn

anonymous · Answer

been a while since i've changed denominators...

2/3...
6/9 - 4/9

2/9?

ganeshie8 · Answer

Awesome !

anonymous · Answer

x^2/9?

ganeshie8 · Answer

yes, we're not done yet. one last step pending !

anonymous · Answer

o_O

ganeshie8 · Answer

the exponent fraction can be converted to radical as ,

$\huge   x^{\frac{2}{9}}$


$\huge  \sqrt[9]{x^2}$

ganeshie8 · Answer

now, the answer is in radical form

anonymous · Answer

thats the final answer?

ganeshie8 · Answer

yes thats the final

anonymous · Answer

alright thanks, gimme a sec to write it down lol