Question

Apply the power of a power property to simplify y 4/3• y 2/3 - 1/2 = y2- - 1/2 =

Answer 1

C- 1/y

Explanation:

go it right on edge

Answer 2

`y^{ (3)/(2)}`

Explanation:

From the question posted, you've already initiated the solution but you applied a wrong approach;

Given

`y^{(4)/(3)} . y^{(2)/(3) - (1)/(2)}`

Required

Simplify; using power property

Power property states that;

`a^m.a^n = a^(m+n)`

`a^m/a^n = a^(m-n)`

By comparison; we have to apply the first property;

This is shown below;

`y^{(4)/(3)+(2)/(3) - (1)/(2)}`

Add fraction of the same numerator

`y^{(4+2)/(3) - (1)/(2)}`

`y^{(6)/(3) - (1)/(2)}`

`y^{2 - (1)/(2)}`

Subtract fraction

`y^{ (4-1)/(2)}`

`y^{ (3)/(2)}`

The expression
`y^{(4)/(3)} . y^{(2)/(3) - (1)/(2)}` is equivalent to
`y^{ (3)/(2)}`