Q. 175 - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

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

Step 1 Given information

Simplifies to $a^4$

Step 2 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.