Question

Which expression, when simplified, would leave you with a negative exponent?(1 point) Responses 33−34 3 cubed minus 3 to the 4th power (−3)2 negative 3 squared 35⋅(−3)2 3 to the 5th power times negative 3 squared 3337

Answer 1

To find which expression simplifies to a negative exponent, let's analyze each provided option:

1. **\( 3^3 - 3^4 \)**:
Simplifying this, we have:
\[
3^3 - 3^4 = 27 - 81 = -54
\]
This is a negative number, but it does not have an exponent.

2. **\( (-3)^2 \)**:
Simplifying this gives:
\[
(-3)^2 = 9
\]
Again, this is a positive number, not an exponent.

3. **\( 3^5 \cdot (-3)^2 \)**:
Simplifying this:
\[
3^5 \cdot (-3)^2 = 243 \cdot 9 = 2187
\]
This is also a positive number, not an exponent.

4. **\( 3^{33} \cdot 3^{7} \)**:
Using the property of exponents:
\[
3^{33} \cdot 3^{7} = 3^{33 + 7} = 3^{40}
\]
This is still a positive exponent.

None of the expressions provided produce a negative exponent when simplified.

However, to introduce negative exponents, you would typically have a division structure such as \( \frac{1}{3^2} \), which would simplify to \( 3^{-2} \).

From the provided options, it seems there might be a misunderstanding of which expressions were properly analyzed since none yield a negative exponent. Please verify if there are any missing details or different options to consider.