Question

Calculati: a) (16×12 la puterea a 10 -4×12la puterea 10):12 la puterea 11=
b)5 la puterea 2-(14×15+15):15 la puterea 2=
c) 10 la puterea 3×85-10 la puterea 3×61-3000
d) 5 la puterea 11 -(6×5 la puterea 10-2× 5 la puterea 10)=

Answer 1

a) $(16 *12^{10} -4*12^{10}):12^{11}=12^{10}(16-4):12^{11}=12^{10}*12:12^{11}=$$12^{10+1-11}= 12^{0} =1$

b) $5^{2} -(14*15+15):15 ^{2} = 5^{2} -15*(14+1):15 ^{2}= 5^{2} -15 ^{2} :15 ^{2}=$$5^{2} -15 ^{2-2}=5^{2} -15 ^{0} =25-1=24$

c) $10^{3} *85- 10^{3} *61-3000= 10^{3} *(85-61-3)=21*10^{3}=21000$

d)$5 ^{11} -(6*5 ^{10}-2*5 ^{10})=5 ^{11}-5 ^{10}(6-2)=5 ^{11}-5 ^{10}*4=5 ^{10}(5-4)$$=5 ^{10}$