Question

Simplify $\frac{(6.7\times {10}^{-11})(6\times {10}^{24})(7.4\times {10}^{22})}{(3.84\times {10}^8{)}^2}$

Answer 1

$\frac{\left(6.7\times {10}^{-11}\right)\left(6\times {10}^{24}\right)\left(7.4\times {10}^{22}\right)}{{\left(3.84\times {10}^8\right)}^2}$

$=\frac{6.7\times 6\times 7.4\times {10}^{-11+24+22}}{3.84\times 3.84\times {10}^{16}}$

$=\frac{6.7\times 6\times 7.4\times {10}^{35-16}}{3.84\times 3.84}$

$=\frac{297.48}{14.7456}\times {10}^{19}$

$=20.17\times {10}^{19}$

$=2.02\times {10}^{20}$