Question

What is an algebraic expression for 'two thirds of a number (d) to the third power' ?

Answer 1

It is (2/3d)^3
Make sure the exponent is on the outside. This is because you are raising 2/3d. Not just D

Answer 2

Answer: The algebraic expression would be
`(2)/(3)d^{(1)/(3)}`

Explanation:

Since we have given that

'two thirds of a number (d) to the third power'

Two thirds is represented as

`(2)/(3)`

Two thirds of a number (d) is represented as

`(2)/(3)* d\\\\=(2)/(3)d`

thirds of a number (d) to the third power is represented as

`(2)/(3)d^{(1)/(3)}`

Hence, the algebraic expression would be
`(2)/(3)d^{(1)/(3)}`