Question

calculate $(1\times10^{-7})(7\times10^{7})$. options: $7\times10^{-1}$, $8\times10^{-14}$, $7\times10^{-14}$, $7\times10^{0}$

Explanation:

Step1: Multiply the coefficients

$1\times7 = 7$

Step2: Multiply the powers of 10

$10^{-7}\times10^{7}=10^{-7 + 7}=10^{0}$ (using the rule $a^{m}\times a^{n}=a^{m + n}$)

Step3: Combine the results

$7\times10^{0}$

Answer:

$7\times 10^{0}$