Question

The equation T = A3/2 is great if you know A and want to find T.

Now, identify the correct inverse equation, which can be used to find A when you are given T.

A. A = T2/3

B. A = T3/2

C. T = A2/3

D. T = A3/2

Answer 1

The correct answer is letter A.

Answer 2

Option A is correct

`A = T^{(2)/(3)}`

Explanation:

Given the equation:

`T = A^{(3)/(2)}` .....;.[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;

`T^2 = A^3`

Taking cube root both sides we have;

`\sqrt[3]{T^2} =A`

or

`A = \sqrt[3]{T^2} = T^{(2)/(3)}`

Therefore, the value of A is,
`T^{(2)/(3)}`.