Question

How do you write the phrase as an algebraic expression: n cubed?

Answer 1

Hint: The given cubic equation of the variable n, can be expressed in the phrase of writing as n cubed. We convert it into an algebraic form of expression by taking the power and the base into consideration. We also express it into two parts based on the sign of the value of n.

Complete step by step answer:
The given written expression is n cubed. This means we are taking cubic values of n.
We have a binary operation of multiplication of n.
We don’t have any information about the characteristics of n.
We need to multiply n with itself three times. Cube is the multiplication of that number itself twice.
The detailed multiplied form will be $n\times n\times n$.
We can express this notion of cubic expression as the indices or power of n. the value of the power will be 3.
So, $n\times n\times n={{n}^{3}}$.

Therefore, the algebraic expression of the phrase n cubed is ${{n}^{3}}$.

Note: We can express the value of ${{n}^{3}}$ in two different ways. The final solution will always be ${{n}^{3}}$, but depending on the value of n being positive or negative the sign becomes ${{n}^{3}}$ or $-{{n}^{3}}$ respectively. Also, we need to remember that the phrasing for the equation has to be exactly what is given. We can’t solve the equation to make it easier.