Question

Is the expression x^3*x^3*x^3 equivalent to x^3*3*3? Why or why not? Explain your reasoning.

Answer 1

Is the expression x³ * x³ * x³ is equivalent to x³*³*³, because you have a common denominator, so you can work just with the exponents.
Or writing in an easier way
x³ = x * x * x

if you multiply x³ * x³, you will:
x³ * x³
(x * x * x) * (x * x * x) = (x * x * x * x * x * x * x * x * x)
x^9, right?
Them
x^9 * x³
(x * x * x * x * x * x * x * x * x) * (x * x * x) = x^27 = x(3*3*3)