Question

1)calculati
a) ( 16x12 la puterea a 10 a -4x12la puterea 10):12la puterea11
b)15 la puterea 2 -(14x15+15):15 la puterea 2
c)10 la putere 3x85-10 la puterea 3 x61-3000
d)5 la puterea 11- (6x5 la puterea 10-2x5 la puterea 10)

Answer 1

a) ( 16x12¹⁰-4x12¹⁰):12¹¹ =
=( 2⁴x12¹⁰-2²x12¹⁰):12¹¹ =
= 2⁴/12-2²/12
=2⁴/2²*3 -2²/2²*3=
=2²/3-1/3=4/3-1/3=3/3=1

 b)15² -(14x15+15):15² =
=15² -(15(14+1):15² =
=15² -(15*15):15² =
=15² -1 =
=225-1=224

c)10³x85-10³x61-3000 =
=10³x85-10³x61-3000 =
=10³(85-61-3)=
=10³(85-61-3)=
=10³ * 21 =21000

d)5¹¹- (6x5¹⁰-2x5¹⁰) =
= 5¹¹- 5¹⁰(6-2) =
= 5¹¹- 5¹⁰*4 =
=5¹⁰(5-4)=5¹⁰