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Efectuati:a)[17×(25-8×3)×1la2021-15]×2la3-2la2×3;b)[(9la2-2la4×5)÷1+5la9÷(5la2)la4]×2la2

Răspuns :

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[tex]a)[17 \times (25 - 8 \times 3) \times {1}^{2021} - 15 ] \times {2}^{3} - {2}^{2} \times 3[/tex]

[tex] = [17 \times (25 - 24) \times 1 - 15] \times 8 - 4 \times 3[/tex]

[tex] = (17 \times 1 - 15) \times 8 - 12[/tex]

[tex] = (17 - 15) \times 8 - 12[/tex]

[tex] = 2 \times 8 - 12[/tex]

[tex] = 16 - 12[/tex]

[tex] = 4[/tex]

[tex]b)[( {9}^{2} - {2}^{4} \times 5) \div 1 + {5}^{9} \div {( {5}^{2} )}^{4} ] \times {2}^{2} [/tex]

[tex] = (81 - 16 \times 5 + {5}^{9} \div {5}^{2 \times 4} ) \times 4[/tex]

[tex] =(81 - 80 + {5}^{9} \div {5}^{8} ) \times 4[/tex]

[tex] = (1 + {5}^{9 - 8} ) \times 4[/tex]

[tex] = (1 + {5}^{1} ) \times 4[/tex]

[tex] = (1 + 5) \times 4[/tex]

[tex] = 6 \times 4[/tex]

[tex] = 24[/tex]

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