Question

Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.

Answer 1

It is not because when numbers have an exponent and are multiplied, the exponents are added.
For example:
$x^{3}$ × $x^{3}$ × $x^{3}$ = $x^{9}$
When a number with an exponent is multiplied with a whole number, the coefficients are multiplied. In this case $x^{3}$ has an imaginary 1 being multiplied to it, so 1 will be multiplied to the other numbers.
$1 x^{3}$ × 3 × 3 = $9x^{3}$ 
Therefore, the expressions are not the same because the second equation does not have other variables being multiplied to it.