It seems there is a bit of confusion in the given exponent notation. It should be noted that a typical power operation notation looks like [tex]\((base)^{exponent}\)[/tex].
To solve for [tex]\((2.5)^3\)[/tex]:
1. Step 1: Understand the base and the exponent.
- The base is [tex]\(2.5\)[/tex].
- The exponent is [tex]\(3\)[/tex].
2. Step 2: Perform the exponentiation operation.
- This involves multiplying the base by itself as many times as indicated by the exponent. Specifically:
[tex]\[
(2.5)^3 = 2.5 \times 2.5 \times 2.5
\][/tex]
3. Step 3: Multiply step-by-step:
- First, calculate [tex]\(2.5 \times 2.5\)[/tex]:
[tex]\[
2.5 \times 2.5 = 6.25
\][/tex]
- Next, use the result from the previous step and multiply by the base one more time:
[tex]\[
6.25 \times 2.5 = 15.625
\][/tex]
4. Step 4: Conclude the calculation.
- The result of [tex]\(2.5^3\)[/tex] is therefore:
[tex]\[
15.625
\][/tex]
So, [tex]\((2.5)^3 = 15.625\)[/tex].
