Răspuns:
8) a) [1+(-3)]²·2⁵·(-2)⁶-2¹⁰·2³=(-2)²·2⁵·(-2)⁶-2¹³=2¹³-2¹³= 0
b) (3⁴·3⁶):3³:(-3)⁴+(-3)³=3¹⁰:3³:(-3)⁴+(-3)³=3⁷:3⁴+(-3)³=3³+(-3)³=27+(-27)=0
c) {[2·5:(-5)]¹²:2⁶-15}-(-7)²=[(-2)¹²:2⁶-15]-(-7)²=(2⁶-15)-49=(64-15)-49=49-49=0
9) a) (-2²)⁷³:2¹⁴⁴-(5²)¹²:5²³=(-2)¹⁴⁶:2¹⁴⁴-5²⁴:5²³=2²-5¹=4-5=-1
b) [(-3)²- (-3)²]:5=0:5=0
c) [(-2)²+(-2)¹⁹⁰:(-2)¹⁸⁸]:2³= [(-2)²+(-2)²]:2³(4+4):2³=8:2³=2³:2³=1
d) 5²+[(-2)⁷·5²·(-3)²]:[3²·(-2)⁴·5]=5²+[(-2)³·5·1]=5²+(-8·5)=25+(-40)=-15
e) [(-5)⁷⁴:(-5)⁷³]:{[-5(1+102)]:103}=(-5)¹:(-5)·103:103=(-5):(-5)·1=1
f) - [(-2)¹⁰:(2²)³-5³·3³]:(2⁶:2²-15³)= - (2¹⁰:2⁶-15³):(2⁴-15³)= -(2⁴-15³):(2⁴-15³)= -1
10) a) (-10)¹²:(-10²)⁵+(-7²)⁵:(7³)³+(-10)²= (-10)¹²:(-10)¹⁰+ (-7)¹⁰:7⁹+(-10)²= (-10)²+7¹+(-10)²= 207
b) [5¹³:(-5)¹²]¹⁰:(-5)⁸-(-5)²=(5¹)¹⁰:5⁸-(-5)²=5²-5²=0
c) 2²⁰:[2⁵·(-2)¹⁸:(-2)¹⁰]=2²⁰:2¹³=2⁷=128
d) (3²)¹²·(3⁸):[(-9)⁶·9²]²:1=3³²:(9⁸)²=3³²:9¹⁶=3³²:(3²)¹⁶=3³²:3³²=1
Explicație pas cu pas:
