# In the example problem, 2.4x10^6 was rewritten as 24x10^5. Explain why those expressions are equivalent.

Complex numbers
In the example problem, $$\displaystyle{2.4}{x}{10}^{{6}}$$ was rewritten as $$\displaystyle{24}{x}{10}^{{5}}$$. Explain why those expressions are equivalent.
$$\displaystyle{2.4}={\left(\frac{{24}}{{10}}\right)}$$ thus
$$\displaystyle{2.4}{x}{\left({10}\right)}^{{6}}={\left(\frac{{24}}{{10}}\right)}{x}{\left({10}\right)}^{{6}}={24}{x}{\left(\frac{{\left({10}\right)}^{{6}}}{{10}}\right)}={24}{x}{\left({10}\right)}^{{{6}-{1}}}={24}{x}{\left({10}\right)}^{{5}}$$