Chapter 7, Problem 12CT

To determine

To find:The expression $\frac{1.5\times {10}^7}{5\times {10}^{-2}}$ in scientific form.

Answer to Problem 12CT

The expression $\frac{1.5\times {10}^7}{5\times {10}^{-2}}$ in scientific form is $3\times {10}^8$ .

Explanation of Solution

Given information:

Theexpression is $\frac{1.5\times {10}^7}{5\times {10}^{-2}}$ .

Calculation:

The given expression $\frac{1.5\times {10}^7}{5\times {10}^{-2}}$ is simplified in scientific form as follows:

  $\begin{array}{c}\frac{1.5\times {10}^7}{5\times {10}^{-2}}=\frac{15\times {10}^{7-\left(-2\right)}}{50}\\ =\frac{15}{5}\times {10}^{7+2-1}\\ =3\times {10}^{7+1}\\ =3\times {10}^8\end{array}$

Thus, theexpression $\frac{1.5\times {10}^7}{5\times {10}^{-2}}$ in scientific form is $3\times {10}^8$ .