Chapter 8.7, Problem 35E

To determine

To simplify:

The given expression.

Answer to Problem 35E

The simplified form of our given expression would be $\frac{5}{2}\cdot c^7$ .

Explanation of Solution

Given:

An expression: $\frac{30c^9}{12c^2}$ .

Calculation:

We will use exponent properties to solve our given exponential number. Using exponent property $\frac{b^m}{b^n}=b^{m-n}$ , we will get:

  $\begin{array}{l}\frac{30c^9}{12c^2}\\ \Rightarrow \frac{30}{12}\cdot c^{9-2}\\ \Rightarrow \frac{5}{2}\cdot c^7\end{array}$

Therefore, the simplified form of our given expression would be $\frac{5}{2}\cdot c^7$ .