How do you solve #(x^{\frac{2}{3}})^{2}=x^{a}#?

1 Answer
Jan 14, 2018

#color(blue)(a = 4/3#

Explanation:

Given:

#color(red)((x^(2/3))^2 = x^ a)#

We will use the formula #(x^m)^n = x^(mn)# to simplify

#rArr x^(2/3*2) = x^a#

#rArr x^(4/3) = x^a#

Remember that #color(blue)(if x^m = x^n, then" " m = n)#

Hence, we obtain

#color(blue)(a = 4/3#

Hope this helps.