Question

cine raspunde are 96 de puncte:
calculati:
a)(16•12^10-4•12^10):12^11
b)15^2-(14•15+15):15^2
c)10^3•85-10^3•61-3000
d)5^11-(6•5^10-2•5^10)​

Answer 1

Răspuns:

a)(16·12¹⁰-4·12¹⁰):12¹¹= 12¹⁰·(16-4): 12¹¹=12¹⁰·12: 12¹¹=12¹¹:12¹¹=1

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

c)10³·85-10³·61-3000 =10³·85-10³·61-3·10³=

10·(85-61-3)=10³·21=21·1000=21000

d)5¹¹-(6·5¹⁰-2·5¹⁰)=5¹¹-5¹⁰·(6-2)=5¹¹- 5¹⁰·4=5¹⁰·(5-4)=5¹⁰·1=5¹⁰

Answer 2

Răspuns:

Explicație pas cu pas:

a) 12^10 (16-4) : 12^11 = 12 : 12 = 1

b) 15^2 - 15(14+1) : 15^2 = 15^2 - 15^2 : 15^2 = 15^2 - 1 = 225 - 1 = 224

c) 10^3 (85 - 61 - 3) = 10^3 * 21 = 21 000

d) 5^10 (5 - 6 + 2) = 5^10 * 1 = 5^10.