Question

2*10^9-2^5*50^4/2^2*10^8

Answer 1

\(=\dfrac{2^{10}\cdot5^9-2^9\cdot5^8}{2^{10}\cdot5^8}=\dfrac{2^9\cdot5^8\left(2\cdot5-1\right)}{2^{10}\cdot5^8}=\dfrac{9}{2}\)

Answer 2

\(\dfrac{2\cdot10^9-2^5\cdot50^4}{2^2\cdot10^8}\)
\(=\dfrac{2^{10}\cdot5^9-2^9\cdot5^8}{2^{10}\cdot5^8}\)
\(=\dfrac{2^9\cdot5^8\left(2\cdot5-1\right)}{2^{10}\cdot5^8}\)
\(=\dfrac{10-1}{2}=\dfrac{9}{2}\)

Answer 3

=9/2