Answer:
Option A is correct
[tex]A = T^{\frac{2}{3}}[/tex]
Step-by-step explanation:
Given the equation:
[tex]T = A^{\frac{3}{2}}[/tex] .....;.[1]
We have to find the correct inverse equation, which can be used to find A when you are given T.
Squaring both sides in [1] we have;
[tex]T^2 = A^3[/tex]
Taking cube root both sides we have;
[tex]\sqrt[3]{T^2} =A[/tex]
or
[tex]A = \sqrt[3]{T^2} = T^{\frac{2}{3}}[/tex]
Therefore, the value of A is, [tex]T^{\frac{2}{3}}[/tex].
