Question

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

Answer 1

a)

$2 ^{100} \div {4}^{50} =$

$= 2^{100} \div ( {2}^{2} )^{50}$

$= 2^{100} \div {2}^{100} = 1$

b)

$2 \times {2}^{8} \times {2}^{6} \div ( {2}^{2} )^{7} =$

$= 2 \times {2}^{8} \times {2}^{6} \div {2}^{14}$

$= {2}^{1} \times {2}^{8} \times {2}^{ - 6} \times {2}^{ - 14}$

$= {2}^{ - 11}$

$= \frac{1}{ {2}^{11} }$

$= \frac{1}{2048}$

Sper ca te-am ajutat!