Question
an expression is shown.
(2.5)^3 times (2.5)6negative 1
what is the value of the expression shown
0.16
0.4
6.25
15.625
(2.5)^3 times (2.5)6negative 1
what is the value of the expression shown
0.16
0.4
6.25
15.625
Answers
GPT-4o mini
Let's simplify the expression step by step.
The given expression is \((2.5)^3 \times (2.5)^{-1}\).
1. When you have \(a^m \times a^n\), you can combine the exponents:
\[
a^m \times a^n = a^{m+n}
\]
In this case:
\[
(2.5)^3 \times (2.5)^{-1} = (2.5)^{3 + (-1)} = (2.5)^{2}
\]
2. Now, calculate \((2.5)^2\):
\[
(2.5)^2 = 2.5 \times 2.5 = 6.25
\]
So the value of the expression \((2.5)^3 \times (2.5)^{-1}\) is **6.25**.
The given expression is \((2.5)^3 \times (2.5)^{-1}\).
1. When you have \(a^m \times a^n\), you can combine the exponents:
\[
a^m \times a^n = a^{m+n}
\]
In this case:
\[
(2.5)^3 \times (2.5)^{-1} = (2.5)^{3 + (-1)} = (2.5)^{2}
\]
2. Now, calculate \((2.5)^2\):
\[
(2.5)^2 = 2.5 \times 2.5 = 6.25
\]
So the value of the expression \((2.5)^3 \times (2.5)^{-1}\) is **6.25**.