Efectuati a) 2¹⁰⁰÷4⁵⁰=? b)2×2⁸×2⁶÷(2²)⁷=?​

Răspuns :

a)

[tex]2 ^{100} \div {4}^{50} = [/tex]

[tex] = 2^{100} \div ( {2}^{2} )^{50} [/tex]

[tex] = 2^{100} \div {2}^{100} = 1[/tex]

b)

[tex]2 \times {2}^{8} \times {2}^{6} \div ( {2}^{2} )^{7} = [/tex]

[tex] = 2 \times {2}^{8} \times {2}^{6} \div {2}^{14} [/tex]

[tex] = {2}^{1} \times {2}^{8} \times {2}^{ - 6} \times {2}^{ - 14} [/tex]

[tex] = {2}^{ - 11} [/tex]

[tex] = \frac{1}{ {2}^{11} } [/tex]

[tex] = \frac{1}{2048} [/tex]

Sper ca te-am ajutat!