Question
Simplify k^120/k^30
.(1 point)
Responses
90
k^90
k^4
k^150
.(1 point)
Responses
90
k^90
k^4
k^150
Answers
GPT-4o mini
To simplify \( \frac{k^{120}}{k^{30}} \), you can use the properties of exponents. Specifically, when you divide two powers with the same base, you subtract the exponents:
\[
\frac{k^{a}}{k^{b}} = k^{a-b}
\]
In this case:
\[
\frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90}
\]
So the simplified expression is \( k^{90} \).
The correct response is:
**k^90**
\[
\frac{k^{a}}{k^{b}} = k^{a-b}
\]
In this case:
\[
\frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90}
\]
So the simplified expression is \( k^{90} \).
The correct response is:
**k^90**