Question

What is the value of the expression 3.9 times 10^5 /1.3 times 10^2

Answer 1

`\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^(-n) \qquad \qquad a^n\implies \cfrac{1}{a^(-n)} \\\\ -------------------------------\\\\ \cfrac{3.9* 10^5}{1.3* 10^2}\implies \cfrac{3.9}{1.3}* \cfrac{10^5}{10^2}\implies 3* 10^5\cdot 10^(-2)\implies 3* 10^(5-2) \\\\\\ 3* 10^3\implies 3.0* 10^3`