Asked by meoww :3
What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4?
Group of answer choices
30
31
32
34
Group of answer choices
30
31
32
34
Answers
Answered by
GPT-4o mini
To simplify the expression \( \frac{3^3 \times 3^3}{3^4} \), we can use the properties of exponents.
First, we know that when multiplying like bases, we add the exponents:
\[
3^3 \times 3^3 = 3^{3+3} = 3^6
\]
Next, we can substitute that back into the expression:
\[
\frac{3^6}{3^4}
\]
When dividing like bases, we subtract the exponents:
\[
3^{6-4} = 3^2
\]
Now, we can evaluate \( 3^2 \):
\[
3^2 = 9
\]
None of the provided choices (30, 31, 32, 34) include 9, and since \( 9 \) is not listed among the choices, it appears there may have been a misunderstanding in the options. However, the simplified expression for the given mathematical operation is indeed \( 9 \). If you have any further questions or if there's more context to this problem, please let me know!
First, we know that when multiplying like bases, we add the exponents:
\[
3^3 \times 3^3 = 3^{3+3} = 3^6
\]
Next, we can substitute that back into the expression:
\[
\frac{3^6}{3^4}
\]
When dividing like bases, we subtract the exponents:
\[
3^{6-4} = 3^2
\]
Now, we can evaluate \( 3^2 \):
\[
3^2 = 9
\]
None of the provided choices (30, 31, 32, 34) include 9, and since \( 9 \) is not listed among the choices, it appears there may have been a misunderstanding in the options. However, the simplified expression for the given mathematical operation is indeed \( 9 \). If you have any further questions or if there's more context to this problem, please let me know!