Question

Ajith and Vijay argue about the AU. Ajith tells that it is 1.496 x 10^11m and Vijay
argue that it is 1.496 x 10^8km. Who is right? Justify your answer​

Answer 1

$1.496 \times 10^{11} \: m$

$= 1.496 \times 10^{11} \times \frac{1}{1000} \:km$

$= 1.496 \times 10^{11} \times \frac{1}{10^{3}} \:km$

$= 1.496 \times 10^{11} \times 10^{-3} \:km$

$= 1.496 \times 10^{11 - 3 } \: km$

$\boxed { \pink { a^m \times a^{n} = a^{m + n } }}$

$= 1.496 \times 10^{8 } \: km$

Therefore.,

$\red{ 1.496 \times 10^{11} \: m }\green {= 1.496 \times 10^{8} \: km}$

$\blue { Ajith \:and \: Vijay \:both \:are \: correct.}$

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