Question

Calculati : a= ([20 ori 25^200) ori (2^100 ori 10^3)] : (2^100 ori 5^400 ori 250 )
b= 6+2 ori ([3 ori 5^2 -2^2 ori 18 :3^2 + 3 ori 11) :2^2]
Dau funda

Answer 1

a=[(20 ×25²⁰⁰) ×(2¹⁰⁰ ×10³)] : (2¹⁰⁰ ×5⁴⁰⁰ ×250 ) =
=[(2² × 5 × 5⁴⁰⁰) ×(2¹⁰⁰ ×2³×5³)] : (2¹⁰⁰ ×5⁴⁰⁰ ×5³×2 ) =
=(2¹⁰⁵ × 5⁴⁰⁴) : (2¹⁰¹ ×5⁴⁰³ ) =
=2⁴× 5=80

b= 6+2 × [(3 × 5² -2² ×18 :3² + 3 ×11) :2²] =
= 6+2 × [(3 × 25 -4 ×18 :9 + 3 ×11) :4] =
= 6+2 × [(75 -4 ×2 + 33) :4] =
= 6+2 × [(108 -8 ) :4] =
= 6+2 × (100 :4) =
= 6+2 × 25 =56