what is an algebraic expression for 'two thirds of a number (d) to the third power' ?
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 \(\dfrac{2}{3}d^{\frac{1}{3}}\)