Simplify the expression.

Question

k^120/k^30


(1 point)
Responses

k4
k to the 4th power

90
90

k90
k to the 90th power

k150
k to the 150th power
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Answer 1

To simplify the expression \( \frac{k^{120}}{k^{30}} \), you can use the property of exponents which states that:

\[ \frac{a^m}{a^n} = a^{m-n} \]

Applying this to your expression:

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

So, the simplified expression is \( k^{90} \) or "k to the 90th power."

The correct response is:

k90 or k to the 90th power.