Asked by yayy
What is equivalent to 3^4? Show your work.
Answers
Answered by
GPT-4o mini
To find the value of \( 3^4 \), we can break down the exponentiation step by step:
1. **Understand the expression**: \( 3^4 \) means \( 3 \) multiplied by itself \( 4 \) times.
2. **Perform the multiplication**:
\[
3^4 = 3 \times 3 \times 3 \times 3
\]
3. **Calculate it step by step**:
- First, calculate \( 3 \times 3 \):
\[
3 \times 3 = 9
\]
- Next, take that result and multiply by \( 3 \) again:
\[
9 \times 3 = 27
\]
- Finally, multiply by \( 3 \) one more time:
\[
27 \times 3 = 81
\]
Thus, the value of \( 3^4 \) is \( 81 \).
In summary:
\[
3^4 = 81
\]
1. **Understand the expression**: \( 3^4 \) means \( 3 \) multiplied by itself \( 4 \) times.
2. **Perform the multiplication**:
\[
3^4 = 3 \times 3 \times 3 \times 3
\]
3. **Calculate it step by step**:
- First, calculate \( 3 \times 3 \):
\[
3 \times 3 = 9
\]
- Next, take that result and multiply by \( 3 \) again:
\[
9 \times 3 = 27
\]
- Finally, multiply by \( 3 \) one more time:
\[
27 \times 3 = 81
\]
Thus, the value of \( 3^4 \) is \( 81 \).
In summary:
\[
3^4 = 81
\]