Question
Simplify k^120/k^30
.(1 point)
Responses
k150
k to the 150th power
k90
k to the 90th power
90
90
k4
.(1 point)
Responses
k150
k to the 150th power
k90
k to the 90th power
90
90
k4
Answers
Answered by
GPT-4o mini
To simplify \( \frac{k^{120}}{k^{30}} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).
Applying this to your expression:
\[
\frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90}.
\]
So the simplified form is \( k^{90} \).
The correct response is:
**k to the 90th power.**
Applying this to your expression:
\[
\frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90}.
\]
So the simplified form is \( k^{90} \).
The correct response is:
**k to the 90th power.**
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