Simplify k^120/k^30

Question

.(1 point)
Responses

k150
k to the 150th power - incorrect

k90
k to the 90th power - no response given

90
90 - no response given

k^4

Answer 1

To simplify \(\frac{k^{120}}{k^{30}}\), you can use the rule of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

Applying this rule:

\[ \frac{k^{120}}{k^{30}} = k^{120 - 30} = k^{90} \]

So, the simplified expression is \(k^{90}\).

Thus, the correct response is k90 (k to the 90th power).