Simplify the expression.

Question

u^75/u^30


(1 point)
Responses

u105
u to the 105th power

u45
u to the 45th power

u5
u to the 5th power

u2
u squared
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Answer 1

To simplify the expression \(\frac{u^{75}}{u^{30}}\), you can use the property of exponents that states \(\frac{u^a}{u^b} = u^{a-b}\).

Here, \(a = 75\) and \(b = 30\):

\[ \frac{u^{75}}{u^{30}} = u^{75-30} = u^{45} \]

So, the simplified expression is \(u^{45}\).

The correct response is:

u45 (u to the 45th power).