Certainly! Let's step-by-step simplify the given expression:
[tex]\[ -16 \times -16 \times -16 \][/tex]
Step 1: Understand the problem
We are given the multiplication of [tex]\(-16\)[/tex] by itself three times.
Step 2: Simplify using the laws of exponents
Multiplying a number by itself a certain number of times can be expressed in index form. In this case, [tex]\(-16\)[/tex] is being multiplied by itself 3 times, which can be written as:
[tex]\[ (-16)^3 \][/tex]
Step 3: Calculate the power of negative base raised to the exponent
We need to determine the value of [tex]\((-16)^3\)[/tex].
Step 4: Assess the result
Since [tex]\(-16^3\)[/tex] involves a negative base raised to an odd power, the result is negative.
[tex]\[
(-16)^3 = -4096
\][/tex]
Therefore, the simplified expression is [tex]\(-4096\)[/tex].
So, to answer the problem, [tex]\(-16 \times -16 \times -16\)[/tex] simplifies to [tex]\(-4096\)[/tex] when evaluated.
