Question

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

$\left(2.4\times {10}^8\right)\left(2\times {10}^{-5}\right)$

Short answer

The value of the expression is 4800.

Step-by-step solution

Step 1. Given Information

• The given expression is$\left(2.4\times {10}^8\right)\left(2\times {10}^{-5}\right)$

Step 2. Simplify the Expression

• To simplify, add the exponents of the terms with a common base and multiply with the rest of the factors.

$\begin{array}{rcl}\left(2.4\times {10}^8\right)\left(2\times {10}^{-5}\right)& =& 2.4\times 2\times {10}^{8+\left(-5\right)}\\ & =& 4.8\times {10}^3\\ & =& 4800\end{array}$

• So, the value of the expression is 4800.