Respuestas
Respuesta:
a) 7^33+4
c) -89
D) -28
e) 0
f) 1-√165+7^35/7^33+1
g) -27
h) -77
Explicación paso a paso:
a) √144+7^33-2^3
√144=12
12+7^33-2^3
2^3=8
12+7^33-8
12-8=4
7^33+4
c) -81+7^0+√81×(-1)
7^0=1
= -81+1+(-1)×√81
= -81+1-√81×1
= √81=9
= -81+1-9×1
= -81+1-9
= -80-9
= -89
D) ^3√343×(-2)-14
= - ^3√343×2-14
= √343 = 7^3
= - ^3√7^3= -7
= -7×2-14
= -14-14
= -28
e) 4^3×(-1)+8^2
= 4^3=4×4×4=64
= 64×(-1)+8^2
= 8^2=8×8=64
= 64×(-1)+64
= 64×(-1)
= -64+64
= 0
f) (-1)^8+√165×(-1)+7^35 : 7^33+47^0
= (-1)^8+√165×(-1)+7^35 / 7^33+47^0
= 47^0=1
= (-1)^8+(-1)×√165+7^35 / 7^33+1
= (-1)^8-√165×1+7^35 / 7^33+1
= (-1)^8=-1
= -1-√165×1+7^35 / 7^33+1
= 1-√165×1+7^35 / 7^33+1
= √165×1=√165
= 1-√165+7^35 / 7^33+1
g)(-9)^2×(-1)+2^3×2^3-^3√1000=
= -(-9)^2×1+2^3×2^3-^3√1000
= - 9^2×1=9^2
= - 9^2+2^3×2^3-^3√1000
= 2^3×2^3= 2^6
= - 9^2+2^6-^3√1000
= ^3√1000=10
= - 9^2+2^6-10
= - 9^2= 9×9=81
= - 81+2^6-10
= 2^6= 2×2×2×2×2×2= 2×2=4×2=8×2=16×2=32×2= 64
= - 81+64-10
= -17-10
= -27
h) (-2)^5+1^17-√9×(-1)+7×(-7)=
= 1^17=1
= (-2)^5+1-√9×(-1)+7×(-7)
= (-2)^5+1-(-1)×√9+7×(-7)
= (-2)^5+1+√9×1-7×7
= -2^5+1+1×√9-7×7
= √9=3
= -2^5+1+1×3-7×7
= 3×1=3
= -2^5+1+3-7×7
= 7×7=49
= -2^5+1+3-49
= 1+3=4
= -2^5+4-49
= 4-49= -45
= -2^5-45
=2^5= 2×2×2×2×2= 2×2= 4×2= 8×2= 16×2= 32
= -32-45
= -77