Question Number 6158 by enigmeyou last updated on 16/Jun/16
$$\frac{−\mathrm{1}}{\mathrm{1048576}}=\frac{\mathrm{1}}{\mathrm{8}}×\left(\frac{−\mathrm{1}}{\mathrm{2}}\right)^{{n}} \\ $$$${find}\:{n}\:? \\ $$
Answered by Rasheed Soomro last updated on 16/Jun/16
$$\frac{−\mathrm{1}}{\mathrm{1048576}}=\frac{\mathrm{1}}{\mathrm{8}}×\left(\frac{−\mathrm{1}}{\mathrm{2}}\right)^{{n}} \\ $$$$\frac{−\mathrm{8}}{\mathrm{1048576}}=\left(\frac{−\mathrm{1}}{\mathrm{2}}\right)^{{n}} \\ $$$$\left(\frac{−\mathrm{1}}{\mathrm{2}}\right)^{{n}} =\frac{−\mathrm{1}}{\mathrm{131072}}=\left(\frac{−\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{17}} \\ $$$${n}=\mathrm{17} \\ $$