Răspuns:
[tex]\bf \purple{a)~ -24}[/tex]
[tex]\bf \pink{b)~~~~~ 11}[/tex]
[tex]\bf \blue{c)~~~~~ 32}[/tex]
[tex]\bf \red{d)~~~~~~ 7}[/tex]
[tex]\bf \orange{e)~~~~~~ 0}[/tex]
[tex]\bf \green{f)~~~~~ 43}[/tex]
Explicație pas cu pas:
Bună !
[tex]\bf a)~~ -3\cdot \big[11-3\cdot \big(-5+2\cdot 3 \big)\big] =[/tex]
[tex]\bf -3\cdot \big[11-3\cdot \big(-5+6 \big)\big] =[/tex]
[tex]\bf -3\cdot \big(11-3\cdot 1\big) =[/tex]
[tex]\bf -3\cdot \big(11-3\big) =[/tex]
[tex]\bf -3\cdot 8 = \purple{\underline{-24~}}[/tex]
[tex]\it~~[/tex]
[tex]\bf b)~~ -2\cdot \big[-5+\big(-2\big)\cdot\big(7-4\cdot3\big)\big]-7\cdot \big(-3\big)=[/tex]
[tex]\bf -2\cdot \big[-5+\big(-2\big)\cdot\big(7-12\big)\big]-7\cdot \big(-3\big) =[/tex]
[tex]\bf -2\cdot \big[-5+\big(-2\big)\cdot\big(-5\big)\big]+7\cdot3 =[/tex]
[tex]\bf -2\cdot \big(-5+10\big)+21 =[/tex]
[tex]\bf -2\cdot 5 +21 =[/tex]
[tex]\bf -10 +21 =\pink{\underline{~11~}}[/tex]
[tex]\it~~[/tex]
[tex]\bf c)~~ 19+45: \Big[-11+2^{19}:\big(-2\big)^{18}\Big] -\big(-2\big)\cdot 9=[/tex]
[tex]\bf 19+45: \Big(-11+2^{19}:2^{18}\Big) +2\cdot 9=[/tex]
[tex]\bf 19+45: \Big(-11+2^{19-18}\Big) +18=[/tex]
[tex]\bf 19+45: \Big(-11+2^{1}\Big) +18=[/tex]
[tex]\bf 19+45: \big(-9\big) +18=[/tex]
[tex]\bf 19-45: 9 +18=[/tex]
[tex]\bf 19-5 +18=[/tex]
[tex]\bf 14 +18=\blue{\underline{~32~}}[/tex]
[tex]\it~~[/tex]
[tex]\bf d)~~ 23-4\cdot \Big[3^{3}:\big(5^{2} -4^{2} \big)+1\Big] =[/tex]
[tex]\bf 23-4\cdot \Big[3^{3}:\big(25 -16\big)+1\Big] =[/tex]
[tex]\bf 23-4\cdot \big(27:9+1\big) =[/tex]
[tex]\bf 23-4\cdot \big(3+1\big) =[/tex]
[tex]\bf 23-4\cdot 4=[/tex]
[tex]\bf 23-16=\red{\underline{~7~}}[/tex]
[tex]\it~~[/tex]
[tex]\bf e)~~ -10+7\cdot \big(21-9\big):42+2^{3} =[/tex]
[tex]\bf -10+7\cdot 12:42+2^{3} =[/tex]
[tex]\bf -10+84:42+2^{3} =[/tex]
[tex]\bf -10+2+2^{3} =[/tex]
[tex]\bf -10+2+8 =[/tex]
[tex]\bf -10+10 =\orange{\underline{~0~}}[/tex]
[tex]\it~~[/tex]
[tex]\bf f)~~ 24-\big(-5\big)\cdot \Big(2^{20}:2^{17} -3\cdot2\Big)+3^{2} =[/tex]
[tex]\bf 24+5\cdot \Big(2^{20-17} -3\cdot2\Big)+3^{2} =[/tex]
[tex]\bf 24+5\cdot \Big(2^{3} -6\Big)+3^{2} =[/tex]
[tex]\bf 24+5\cdot \big(8 -6\big)+9 =[/tex]
[tex]\bf 24+5\cdot 2+9 =[/tex]
[tex]\bf 24+10+9 = \green{\underline{~43~}}[/tex]
[tex]\red{\star~~\underline{\underline{\text{\bf Formule pentru puteri:}}}}[/tex]
[tex]\red{\Large \bf a^{0} = 1}[/tex]
[tex]\red{\Large \bf \big(a^{n}\big)^{m} = a^{n \cdot m}}[/tex]
[tex]\red{\Large \bf a^{n}\cdot a^{m} =a^{n+m}}[/tex]
[tex]\red{\Large \bf a^{n}: a^{m} =a^{n-m}}[/tex]
P.S. Dacă ești pe telefon te rog să glisezi spre stânga pentru a vedea întreaga rezolvare.
Baftă multă !
