Question

Answer 1

\(\dfrac{8^2.4^5}{2^{20}}=\dfrac{2^6.2^{10}}{2^{20}}=\dfrac{2^{16}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)

\(\dfrac{9^2.2^{11}}{16^2.6^3}=\dfrac{3^4.2^{11}}{2^8.2^3.3^3}=\dfrac{3^1.2^{11}}{2^{11}}=3\)

\(\dfrac{6^{15}.9^{10}}{3^{34}.2^{13}}=\dfrac{2^{15}.3^{15}.3^{20}}{3^{34}.2^{13}}=\dfrac{2^{15}.3^{35}}{3^{34}.2^{13}}=\dfrac{2^3.3}{1}=24\)

\(\dfrac{5^{102}.9^{1009}}{3^{2018}.25^{50}}=\dfrac{5^{102}.3^{2018}}{3^{2018}.5^{100}}=5^2=25\)