Question

Answer 1

a) \(4^{10}.8^{15}=2^{20}.2^{45}=2^{65}\)

b) \(4^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)

c) \(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)

d) \(A=\dfrac{72^3\times54^2}{108^4}\)

\(A=\dfrac{72^3\times54^2}{2^4.51^4}=\dfrac{72^3}{2^4.54^2}=\dfrac{36^3}{2.54^2}\)

e) \(B=\dfrac{3^{10}.11+3^{10}.5}{3^0.2^4}\)

\(B=\dfrac{3^{10}.\left(11+5\right)}{2^4}=\dfrac{3^{10}.16}{2^4}=3^{10}\)