Question

Efectuati:
a) (-2)^{3}-2^{2}+(-5)^{2}-7^{0}
b) (-1)^{5}x(-1)^{6}x(-7)^{3}x(-7)
c) (-25)^{73}:5^{100}+(-5)^{2}x(-5)^{44}
d) [(-4)^{2}-(-7)^{85}: (-7)^{84}]:(-23)
e) (-2)^{60}:[(-2)^{25}x2^{30}]:(-2)^{5}
f) (-2)^{100}:[16^{25}:2^{4}+(-10+8)^{26}x2^{2}^{3}x(-2)^{62}

Answer 1

a) (-2)³-2²+(-5)²-7°=-8-4+25-1=-12+24=+12

b) (-1)⁵x(-1)⁶x(-7)³x(-7) =(-1)x1x(-7)³⁺¹=-1x(-7)⁴=2401

c) (-25)⁷³:5¹°°+(-5)²x(-5)⁴⁴=(-5²)⁷³:5¹°°+(-5)²⁺⁴⁴=(-5)¹⁴⁶:5¹°°+(-5)⁴⁶=
5¹⁴⁶:5¹°°+5⁴⁶=5¹⁴⁶⁻¹°°+5⁴⁶=5⁴⁶+5⁴⁶=5⁴⁶(1+1)=2x5⁴⁶

d) [(-4)²-(-7)⁸⁵: (-7)⁸⁴]:(-23) =(16-(-7)⁸⁵⁻⁸⁴):(-23)=(16-(-7)¹):(-23)=(16+7):(-23)=
23:(-23)=-1

e) (-2)⁶⁰:[(-2)²⁵x2³°]:(-2)⁵=(-2)⁶⁰⁻²⁵⁻⁵x2³⁰=(-2)³⁰x2³⁰=2³⁰x2³⁰=2³⁰⁺³⁰=2⁶⁰