Question

(2.5×10^10)×(31.25×10^-5)​

Answer 1

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 2

Answer:

express each of the following in the from k ×10n, (1< k < 10) (1.25 ×10⁷)÷ (5×10³)