Question

WILL AWARD BRAINLISET! PLUS SHOW WORK PLEASE! :)

Use the rules of exponents to write an equivalent expression for each of the following.

1.
`x^{ (1)/(2) }` *
`x^{ (3)/(2) }`

2.
`x^{ (2)/(3) }` /
`x^{ (7)/(6) }`

3. (
`2x^{ (1)/(2) }`)²

4. (
`(16x^{ (4)/(3) }) ^{ (1)/(2) }`

Answer 1

See attached images describing the steps in calculating, or other ways to express them.

Answer 2

1. x^2

2. x^-1/2 or 1/x^1/2

3. 4x

4. 4x^2/3