Question

\(\frac{5^{30}+5^{20}}{5^{20}+5^{10}}\)

Answer 1

\(\frac{5^{30}+5^{20}}{5^{20}+5^{10}}=\frac{5^{20}\left(5^{10}+1\right)}{5^{10}\left(5^{10}+1\right)}=\frac{5^{20}}{5^{10}}=5^{10}\)

Answer 2

\(\frac{5^{30}+5^{20}}{5^{20}+5^{10}}=\frac{5^{20}+\left(5^{10}+1\right)}{5^{10}+\left(5^{10}+1\right)}=\frac{5^{20}}{5^{10}}=5^{10}\)