Question

If 10^k-3=m, then 10^k=?

Answer 1

$\bf 10^{k-3}=m\implies 10^k\cdot 10^{-3}=m\\ ----------------------------\\ \textit{now, bear in mind that}\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \\ \quad \\ ----------------------------\\ thus \\ \quad \\ 10^k\cdot 10^{-3}=m\implies 10^k\cdot \cfrac{1}{10^{+3}}=m\implies 10^k\cdot \cfrac{1}{10^{3}}=m \\ \quad \\ 10^k\cdot \cfrac{1}{1000}=m\implies 10^k=1000m$