Simplify k^120/k^30

Question

.(1 point)
Responses

90

k^90

k^4

k^150

Answer 1

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