Verified Answer :

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: 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 \(\dfrac{2}{3}d^{\frac{1}{3}}\)