Question

(9.3 x 10^8)÷(3.0 x 10-^2)

Answer 1

Statement Problem: Evaluate;

$\frac{9.3\times10^8}{3.0\times10^{-2}}$

Solution:

$\frac{9.3\times10^8}{3.0\times10^{-2}}=\frac{9.3}{3.0}\times\frac{10^8}{10^{-2}}$

We would apply the division law of indices;

$\frac{a^b}{a^c}=a^{b-c}$

Then,

$\begin{gathered} \frac{9.3}{3.0}\times\frac{10^8}{10^{-2}}=3.1\times10^{8-(-2)} \\ \end{gathered}$

Hence,

$\frac{9.3\times10^8}{3.0\times10^{-2}}=3.1\times10^{10}$