Question

Bài 2 : Tính :

a) 4¹⁰ x 8¹⁵

b) 27¹⁶ x 9¹⁰

c) \(\frac{2^{10}.13+2^{10}.65}{28.104}\)

Answer 1

a) 

\(4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)

b)

\(27^{16}\cdot9^{10}=3^{48}\cdot3^{20}=3^{68}\)

Answer 2

a) 4¹⁰ . 8¹⁵ = (2²)¹⁰ . (2³)¹⁵ = 2²⁰ . 2⁴⁵ = 2⁶⁵
b) 27¹⁶ . 9¹⁰ = (3³)¹⁶ .(3²)¹⁰=3⁴⁸ . 3²⁰ = 3⁶⁸
c) \(\frac{2^{10}\cdot13+2^{10}\cdot65}{28\cdot104}=\frac{2^{10}\cdot13\cdot\left(1+5\right)}{2^5\cdot7\cdot13}=\frac{2^5\cdot6}{7}=\frac{192}{7}\)