Question

Calculează rapid. Scrie rezultatul obținut ca număr natural.
a) 2^2×2^3×2^4×5^2×5^4;
b)2^4×4^4×125×25^3;
c)2^1×2^2×2^3×3^2×5^6;
d)2^1×2^2×2^3×2^4×5^1×5^2×5^3×5^4÷10^10;
e)64×16×32×125×125×625×625×5÷10^13;
f)8×16×128÷4÷32÷64×3 125÷625.

Answer 1

Răspuns:

Explicație pas cu pas:

a)2^6×5^6×2³=10^6×8=8000000

b)2^4×2^8×5³×5^6=10^9×2³=8000000000

c)2^6×3²×5^6=10^6×9=9000000

d)2^(1+2+3+4)×5^10:10^10=10^10:10&10=1

e) 2^(6+4+5)×5^(3+3+4+4+1):10^13=5^7×10^11:10^13=5^7:10²=5^5:4=3125/4

f)2^(3+4+7):2^(2+5+6)×5^5:5^4=2×5=10

Answer 2

a) (2^2)×(2^3)×(2^4)×(5^2)×(5^4)

(2^9)×(5^6) care apartine Naturaleleor(N)

b) (2^4)×(4^4)×125×(25^3)

(2^4)×[(2^2)^4]×(5^3)×[(5^2)^3]

(2^4)×(2^8)×(5^3)×(5^6)

(2^12)×(5^9) care apartine N

c) (2^1)×(2^2)×(2^3)×(3^2)×(5^6)

(2^9)×(3^2)×(5^6)

(2^9)×9×(5^6) care apartine N

d) (2^1)×(2^2)×(2^3)×(2^4)×(5^1)×(5^2)×(5^3)×(5^4)÷(10^10)=(2^10)×(5^10)×(10^10)=(2×5×10)^10=100^10 care apartine N.

e) 64×16×32×125×625×5÷10^13

(2^6)×(2^4)×(2^5)×(5^3)×(5^4)×5÷(2×5)13

(2^15)×(5^8)÷(2^13×5^13)

(2^2)×[5^(-5)]=4×[5^(-5}]=4×0,00032=0,0128

f)Nu mai am chef omule,scz dar m-am saturat sa iti calculez tie astea...!E extraordinar de simplu!