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 $\dfrac{2}{3}d^{\frac{1}{3}}$

Step-by-step explanation:

Since we have given that

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

Two thirds is represented as

$\dfrac{2}{3}$

Two thirds of a number (d) is represented as

$\dfrac{2}{3}\times d\\\\=\dfrac{2}{3}d$

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

$\dfrac{2}{3}d^{\frac{1}{3}}$

Hence, the algebraic expression would be $\dfrac{2}{3}d^{\frac{1}{3}}$