Question

Jennifer thinks the quotient $\frac{a^{24}}{a^6}$ simplifies to $a^4$.What is wrong with her reasoning

Short answer

Jennifer's reasoning is incorrect . The correct answer is$a^{18}$

Step-by-step solution

Given information 

Simplifiesto$a^4$

Explanation

Applying Division property of exponents

$$\begin{gathered} \frac{a^{24}}{a^6}=a^{24-6} \\ =a^{18} \end{gathered}$$

The correct answer is $a^{18}$

Hence her reasoning is incorrect.