Question

In many applications it is necessary to write expressions in the form cxⁿ where c is a constant and n is an integer. Write the following expression in this form. (3x)³

Answer 1

The expression (3x) cubed is rewritten as 27x to the power of 3, where the constant c is 27 and the integer n is 3.

Step-by-step explanation:

To rewrite the expression (3x)³ in the form cxⁿ, where c is a constant and n is an integer, we need to apply the cubing of exponentials. We cube the constant 3 and raise the variable x to the power of three:

(3³)(x³) = 27x³

Therefore, 27x³ is the expression in the required form, with c being 27 and n being 3.