Sure! Let's solve the problem of raising [tex]\( 0.5 \)[/tex] to the power of 4 step-by-step.
1. Understanding the Problem: We are asked to find the value of [tex]\((0.5)^4\)[/tex], which means we need to multiply 0.5 by itself four times.
2. Step-by-Step Multiplication:
- First, we multiply [tex]\( 0.5 \)[/tex] by [tex]\( 0.5 \)[/tex]:
[tex]\[
0.5 \times 0.5 = 0.25
\][/tex]
- Next, we take the result from the previous step and multiply it by another [tex]\( 0.5 \)[/tex]:
[tex]\[
0.25 \times 0.5 = 0.125
\][/tex]
- Finally, we take the result from the previous step and multiply it by [tex]\( 0.5 \)[/tex] one more time:
[tex]\[
0.125 \times 0.5 = 0.0625
\][/tex]
3. Final Answer: After performing these multiplications sequentially, the value of [tex]\((0.5)^4\)[/tex] is:
[tex]\[
0.0625
\][/tex]
So, [tex]\((0.5)^4\)[/tex] is indeed equal to [tex]\( 0.0625 \)[/tex].
