Question

Evaluate the expression. Write your answer in scientific notation.

$(5.2\times {10}^{-3})÷(1.3\times {10}^{-12})$

Answer 1

Step1. To evaluate the expression, we should perform division between digits and powers simultaneously

$=(5.2\times {10}^{-3})÷(1.3\times {10}^{-12})$

$=(5.2÷1.3)\times ({10}^{-3}÷{10}^{-12})$

Step 2. Now solving powers using exponent law${\mathrm{a}}^{\mathrm{m}}÷{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$ , we get

$=4\times {10}^{-3-(-12)}$

$=4\times {10}^{-3+12}$

$=4\times {10}^9$

Hence the answer is $4\times {10}^9$