Question

Resolva:<br />a: <br />$(1 - \frac{1}{2} ) { }^{2} + ( - 1 + \frac{1}{2} ) {}^{3}$<br /><br /><br />b:<br />$( \frac{2}{3} ) {}^{ - 2 } - ( \frac{1}{2} ) {}^{ - 1} + ( \frac{ - 1}{4} ) {}^{ - 2}$<br />c:<br />$| 4 {}^{7} \times 4 {}^{10} \times 4 {}^{} | {}^{2} \div (4 {}^{5} ) {}^{7}$<br />​

Answer 1

Resposta:

Explicação passo-a-passo:

= (1 - 1/2)^2 + (-1+1/2)^3

= [(2-1)/2]^2 + [(-2+1)/2]^3

= (1/2)^2 + (-1/2)^3

= 1/4 - 1/8

Mmc (4,8) = 8

= (2 - 1)/8

= 1/8

= (2/3)^ (-2) - (1/2)^(-1) + (-1/4) ^ (-2)

= (3/2)^2 - 2^1 + 4^2

= 9/4 - 2 + 16

= 9/4 + 14

= (9+56)/14

= 65/14

= (4^7 . 4^10 . 4)^2 ÷ (4^5)^7

= [4^(7+10+1)] ^2 ÷ 4^(5.7)

= [4^18]^2 ÷ 4^35

= 4^36 ÷ 4^35

= 4