Question

Solve:$\frac{6.7\times {10}^{-11}\times 7.4\times {10}^{22}\times 1}{(1.74\times {10}^6{)}^2}$

Answer 1

$\frac{6.7\times {10}^{-11}\times 7.4\times {10}^{22}\times 1}{(1.74\times {10}^6{)}^2}$

$=\frac{6.7\times 7.4\times 1\times {10}^{(-11+22)}}{{1.74}^2\times {10}^{12}}$

$=\frac{6.7\times 7.4\times {10}^{11}}{1.74\times 1.74\times {10}^{12}}$

$=\frac{67\times 74\times 10000}{174\times 174\times 10\times 100}$

$=\frac{67\times 74\times 10}{174\times 174}$

$=\frac{67\times 37\times 10}{87\times 174}$

$=\frac{24790}{15138}$