(2.5×10^10)×(31.25×10^-5)

1.	(2.5×10^10)×(31.25×10^-5)
Answer» ANSWER: $\mathrm{Simplify}\:\left(2.5\times \:10^{10}\right)\times \left(31.25\times \:10^{-5}\right):\quad 7812500$ Step-by-step EXPLANATION: $\left(2.5\times \:10^{10}\right)\left(31.25\times \:10^{-5}\right)$ $\gray{\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}}$ $\gray{10^{10}\times \:10^{-5}=\:10^{10-5}}$ $=2.5\times \:31.25\times \:10^{10-5}$ $\gray{\mathrm{Subtract\:the\:numbers:}\:10-5=5}$ $=2.5\times \:31.25\times \:10^5$ $\gray{\mathrm{Multiply\:the\:numbers:}\:2.5\times \:31.25=78.125}$ $=10^5\times \:78.125$ $\gray{10^5=100000}$ $=100000\times \:78.125$ $\gray{\mathrm{Multiply\:the\:numbers:}\:78.125\times \:100000=7812500}$ $=7812500$

Answer»

$\mathrm{Simplify}\:\left(2.5\times \:10^{10}\right)\times \left(31.25\times \:10^{-5}\right):\quad 7812500$