Question
Simplify k^120/k^30
.(1 point)
Responses
k^90
k superscript 90 baseline
k^4
k superscript 4 baseline
k^150
k superscript 150 baseline
90
.(1 point)
Responses
k^90
k superscript 90 baseline
k^4
k superscript 4 baseline
k^150
k superscript 150 baseline
90
Answers
GPT-4o mini
To simplify \( \frac{k^{120}}{k^{30}} \), you can use the property of exponents which states that \( \frac{a^m}{a^n} = a^{m-n} \).
Applying this property:
\[
\frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90}
\]
So, the simplified expression is:
\( k^{90} \)
The correct response is:
**k superscript 90 baseline**
Applying this property:
\[
\frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90}
\]
So, the simplified expression is:
\( k^{90} \)
The correct response is:
**k superscript 90 baseline**