Question

\(\dfrac{5^6.25^3}{25}\)

Answer 1

\(\dfrac{5^6.25^3}{25}=\dfrac{5^6.5^6}{5^2}=5^{6+6-2}=5^{10}\)

Answer 2

\(\dfrac{5^6.25^3}{25}=\dfrac{5^6.\left(5^2\right)^3}{5^2}=\dfrac{5^6.5^6}{5^2}=\dfrac{5^{12}}{5^2}=5^{12-2}=5^{10}\)

Answer 3

\(\dfrac{5^6.25^3}{25}\)\(=5^6.25^2=9765625\)

Answer 4

\(\dfrac{5^6.25^3}{25}\\ \Rightarrow\dfrac{5^6.\left(5^2\right)^3}{25}\)

\(\Rightarrow\dfrac{5^6.5^6}{25}\\ \Rightarrow\dfrac{5^{36}}{5^2}\)

\(\Rightarrow5^{34}\)