Question

Calculaţi:
a) 125x1111^3-5555^3
b) 9^5-(3^5)^2+8^4-(2^4)^3
c) 2^7:4^3+3^3x27:3^5+(3^1x2^4-4^2):2^3
(P. S nu trebuie sa le rezolvati pe toate cat stiti ms)

Answer 1

a) 125x1111³-5555³=125x1111³-5x1111³=1111³(125-5)=120x1111³
b) 9⁵-(3⁵)²+8⁴-(2⁴)³=
(3²)⁵-3¹⁰+(2³)⁴-2¹²=
3¹⁰-3¹⁰+2¹²-2¹²=0
c) 2⁷:4³+3³x27:3⁴+(3¹x2⁴-4²):2³=
2⁷:(2²)³+3³x3³:3⁴+(3x2⁴-2⁴):2³=
2⁷:2⁶+3³⁺³⁻⁴+2⁴(3-1):2³=
2⁷⁻⁶+3²+2⁴x2:2³=
2+9+2⁴⁺¹⁻³=
11+2²=11+4=15

Answer 2

a) 125x1111³-5555³=125x1111³-5x1111³=1111³(125-5)=120x1111³
b) 9⁵-(3⁵)²+8⁴-(2⁴)³=
(3²)⁵-3¹⁰+(2³)⁴-2¹²=
3¹⁰-3¹⁰+2¹²-2¹²=0
c) 2⁷:4³+3³x27:3⁴+(3¹x2⁴-4²):2³=
2⁷:(2²)³+3³x3³:3⁴+(3x2⁴-2⁴):2³=
2⁷:2⁶+3³⁺³⁻⁴+2⁴(3-1):2³=
2⁷⁻⁶+3²+2⁴x2:2³=
2+9+2⁴⁺¹⁻³=
11+2²=11+4=15