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Answer :
To find the value of [tex]\(5^{(4-2)}\)[/tex], let's first understand the expression. We are given [tex]\(5^4 = 3125\)[/tex], and we need to evaluate [tex]\(5^{(4-2)}\)[/tex].
1. Simplify the Exponent:
The expression [tex]\(5^{(4-2)}\)[/tex] can be simplified by subtracting the exponents:
[tex]\[
4 - 2 = 2
\][/tex]
2. Calculate the Result for Simplified Expression:
Now, the expression becomes [tex]\(5^2\)[/tex].
3. Evaluate [tex]\(5^2\)[/tex]:
To evaluate [tex]\(5^2\)[/tex], multiply the base, 5, by itself:
[tex]\[
5 \times 5 = 25
\][/tex]
So, the value of [tex]\(5^{(4-2)}\)[/tex] is [tex]\(\boxed{25}\)[/tex].
1. Simplify the Exponent:
The expression [tex]\(5^{(4-2)}\)[/tex] can be simplified by subtracting the exponents:
[tex]\[
4 - 2 = 2
\][/tex]
2. Calculate the Result for Simplified Expression:
Now, the expression becomes [tex]\(5^2\)[/tex].
3. Evaluate [tex]\(5^2\)[/tex]:
To evaluate [tex]\(5^2\)[/tex], multiply the base, 5, by itself:
[tex]\[
5 \times 5 = 25
\][/tex]
So, the value of [tex]\(5^{(4-2)}\)[/tex] is [tex]\(\boxed{25}\)[/tex].
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