\(\dfrac{4^2.4^3}{2^{10}}\)
\(=\dfrac{\left(2^2\right)^{2+3}}{2^{10}}\)
\(=\dfrac{2^{\left(2.5\right)}}{2^{10}}\)
\(=\dfrac{2^{10}}{2^{10}}=1\)
\(\dfrac{4^2.4^3}{2^{10}}=\dfrac{4^{2+3}}{2^{10}}=\dfrac{4^5}{2^{10}}=\dfrac{\left(2^2\right)^5}{2^{10}}=\dfrac{2^{10}}{2^{10}}=2^{10-10}=2^0=1\)
\(\dfrac{4^2.4^3}{2^{10}}=\dfrac{4^5}{4^5}=1\)