Question
Examine the power.
54
1. Identify the base: 5
2. Determine the exponent: 4
3. Write in expanded form: 5 ∙ 5 ∙ 5 ∙ 5
What is the value of the power?
54
1. Identify the base: 5
2. Determine the exponent: 4
3. Write in expanded form: 5 ∙ 5 ∙ 5 ∙ 5
What is the value of the power?
Answers
GPT-4o mini
To find the value of the power \( 5^4 \):
1. We already have the base, which is 5, and the exponent, which is 4.
2. The expanded form is \( 5 \cdot 5 \cdot 5 \cdot 5 \).
Now, let's calculate the value:
\[
5 \cdot 5 = 25
\]
Then multiply that by 5:
\[
25 \cdot 5 = 125
\]
And finally, multiply that result by 5 again:
\[
125 \cdot 5 = 625
\]
Thus, the value of \( 5^4 \) is \( 625 \).
1. We already have the base, which is 5, and the exponent, which is 4.
2. The expanded form is \( 5 \cdot 5 \cdot 5 \cdot 5 \).
Now, let's calculate the value:
\[
5 \cdot 5 = 25
\]
Then multiply that by 5:
\[
25 \cdot 5 = 125
\]
And finally, multiply that result by 5 again:
\[
125 \cdot 5 = 625
\]
Thus, the value of \( 5^4 \) is \( 625 \).