Question

how do i write this as an expression with a rational exponent. please dont just tell me the answer actually help.

Answer 1

(^3sqrt(x^4

Answer 2

http://www.mathpapa.com/algebra-calculator.html?q=y%3D2/x%20+%202x%20-3

Answer 3

memorize that the exponent ½ is the same as square root
exponent ⅓ is the same as cube root
or in general, the exponent 1/n means the "nth root"

for example, you can rewrite
sqr(4) as 4^(½)
the square root of 4 is the same as 4 to the ½ power

in your case,
cube root x^4 is the same as (x^4) ^ (⅓)

you can simplify the exponent using this rule

(x^a) ^ b is the same as x^(ab)

that means
(x^4) ^ (⅓) is the same as x^(4*⅓) = x^(4/3)