[tex] {2}^{3} \times {2}^{5} \times ( {2}^{7} ) ^{2} \div {2}^{15} [/tex]
ajutor
dau coroana​

Răspuns:

Explicație pas cu pas:

2³ × 2⁵ × (2⁷)² : 2¹⁵ = 2³ × 2⁵ × 2¹⁴ : 2¹⁵

= 2³+⁵+¹⁴-¹⁵ = 2⁷ = 128

➣ Rezolvare:

[tex]\bf{2^{3} \times {2}^{5} \times ( {2}^{7} )^{2} \div {2}^{15 } = }[/tex]

[tex]\bf{ = {2}^{3} \times {2}^{5} \times {2}^{7 \times 2} \div {2}^{15} = }[/tex]

[tex]\bf{ = {2}^{3} \times {2}^{5} \times {2}^{14} \div {2}^{15 } = }[/tex]

[tex]\bf{ = {2}^{3 + 5} \times {2}^{14} \div {2}^{15} = }[/tex]

[tex]\bf{ = {2}^{8} \times {2}^{14} \div {2}^{15} = }[/tex]

[tex]\bf{ = 2^{8 + 14} \div {2}^{15} = }[/tex]

[tex]\bf{ = {2}^{22} \div {2}^{15} = }[/tex]

[tex]\bf{ = 2 ^{22 - 15} = \boxed{ {2}^{7} = 128 } }[/tex]

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Succes!