Question

What is the value of $\frac{{\left({10}^3\right)}^2\times {10}^{-4}}{{10}^2}$?

Answer 1

$\frac{{\left({10}^3\right)}^2\times {10}^{-4}}{{10}^2}$

$=\frac{{10}^6\times {10}^{-4}}{{10}^2}$ ...... [Using power rule of exponents]

$={10}^{(6-4-2)}$ ......... [Using product rule of exponents]

$={10}^0$

$=1$