Question

Tính nhanh : a ) 4^15 . 5^30
                     b ) 27^16 : 9^10

Answer 1

\(a,4^{15}\cdot5^{30}\\ =4^{15}\cdot25^{15}\\ =\left(4\cdot25\right)^{15}\\ =100^{15}\\ b,27^{16}:9^{10}\\ =3^{48}:3^{20}\\ =3^{48-20}\\ =3^{28}\)

Answer 2

a) \(=2^{2^{15}}\cdot5^{30}\)

\(=2^{30}\cdot5^{30}\)

\(=10^{30}\)

b) \(=3^{3^{16}}:3^{2^{10}}\)

\(=3^{48}:3^{20}\)

\(=3^{28}\)