Răspuns :
Răspuns:
Explicație pas cu pas:
a)
=2³⁶*( 2⁴+2³+1):5²
=2³⁶*( 16+8+1):5²
=2³⁶*25:25
= 2³⁶*1
= 2³⁶
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b)
= 1+ { 2+ [ 3*9-6+56] -9 }
= 1+ { 2+ [ 27-6+56 ] -9 }
= 1+ { 2+[ 21+56 ] -9 }
= 1+ [ (2+ 77 -9 ) -9 ]
=1+ (70- 9)
= 1+61
= 62
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c)
=2¹⁰⁰: [ 2⁹⁸+ (2²⁵)⁵:2²⁷+ ( 5-3) ⁹⁰*2⁸+2⁹⁸]
=2¹⁰⁰:(2⁹⁸+2¹²⁵:2²⁷+2⁹⁰*2⁸+2⁹⁸)
= 2¹⁰⁰: ( 2⁹⁸+2⁹⁸+2⁹⁸+2⁹⁸)
= 2¹⁰⁰: ( 2⁹⁸+2⁹⁸+2⁹⁸+2⁹⁸)
= 2¹⁰⁰:2⁹⁸*( 1+1+1+1)
= 2²*4
= 4*4
= 16
[tex]\it a)\ =2^{36}(2^4+2^3+1):25=2^{36}\cdot25:25=2^{36}\\ \\ \\ b)\ = 1+[2+(27-6+56)-9]=1+(-7+77)=1+70=71\\ \\ \\ c)\ = 2^{100}:(2^{98}+2^{125}:2^{27}+2^{90}\cdot2^8+2^{98})=2^{100}:(2^{98}+2^{98}+2^{98}+2^{98})=\\ \\ =2^{100}:(4\cdot2^{98})=2^{100}:(2^2\cdot2^{98})=2^{100}:2^{100}=1[/tex]