Question

In the following exercises, simplify and write your answer in decimal form.

Short answer

The value of the given expression is 300000.

Step-by-step solution

Step 1. Given Information

The given expression is$\frac{9\times {10}^4}{3\times {10}^{-1}}$.

Step 2. Simplify the Expression

• To divide the exponential terms with common base, subtract the power of the denominator from the power of the numerator and write as the power of the same base.

$\begin{array}{rcl}\frac{9\times {10}^4}{3\times {10}^{-1}}& =& \frac{9}{3}\times {10}^{4-\left(-1\right)}\\ & =& 3\times {10}^5\\ & =& 300000\end{array}$

• So, the value of the given expression is 300000.