Question

Bài 1 : Tính nhanh

a)\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)

b)100+98+96+.......+2-97-95-.....-1

Answer 1

a) \(\frac{3^{10}.\left(11+5\right)}{3^9.16}\)=\(\frac{3^{10}.16}{3^{10}.16}\)=1

Answer 2

a) \(\frac{3^{10}.\left(11+5\right)}{3^9.16}=\frac{3^{10}.16}{3^9.16}=\frac{3^{10}}{3^9}=3\)

Answer 3

\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)

\(=\frac{3^{10}.\left(11+5\right)}{3^9.16}\)

\(=\frac{3^{10}.16}{3^9.16}\)

\(=\frac{3^{10}}{3^9}\)

\(=3\)

Answer 4

a) \(\frac{3^{10}\left(11+5\right)}{3^9.2^4}=\frac{3^{10}.16}{3^9.16}=3\)

b) \(100+98+96+...+2-97-95-...-1\)

\(=100+\left(98-97\right)+\left(96-95\right)+...+\left(2-1\right)\)

\(=100+1.\left[\left(98-1\right)+1\right]:2\)

\(=100+1.49\)

\(=149\)

Answer 5

\(a.\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)

\(=\frac{3^{10}.16}{3^9.16}\)

\(=\frac{3^{10}}{3^9}=3\)