Let's solve the expression [tex]\((-2) \times (-2)^3\)[/tex] step by step.
Step 1: Evaluate the exponentiation
First, we need to solve the exponentiation part of the expression, [tex]\((-2)^3\)[/tex]. To do this, we multiply [tex]\(-2\)[/tex] by itself three times:
[tex]\[
(-2) \times (-2) \times (-2)
\][/tex]
Multiplying two negative numbers, we have:
[tex]\[
(-2) \times (-2) = 4
\][/tex]
Next, we multiply this result by [tex]\(-2\)[/tex]:
[tex]\[
4 \times (-2) = -8
\][/tex]
Thus, [tex]\((-2)^3 = -8\)[/tex].
Step 2: Multiply by [tex]\(-2\)[/tex]
Now, we need to multiply the result from the first step by [tex]\(-2\)[/tex]:
[tex]\[
(-2) \times (-8)
\][/tex]
Multiplying a negative number by another negative number gives a positive result:
[tex]\[
(-2) \times (-8) = 16
\][/tex]
So, the final result of the expression [tex]\((-2) \times (-2)^3\)[/tex] is:
[tex]\[
\boxed{16}
\][/tex]
