Question

POR FAVOR ES PARA MAÑAANA

Answer 1

1)

a)

$= ( - 12) \times (3) + \frac{18}{ \frac{ - 12}{6} + 8} \\ = - 36 + \frac{18}{ - 2 + 8} \\ = - 36 + \frac{18}{6} \\ = - 36 + 3 \\ = - 33$

b)

$= \sqrt{ - 2 + 6 - (2.3 + 2 {}^{2}) {}^{0} - ( - 1) {}^{13} } \\ = \sqrt{4 - (1) - ( - 1)} \\ = \sqrt{4 - 1 + 1} \\ = \sqrt{4} \\ = \frac{ + }{} 2$

c)

$= - 5 + \frac{ {3}^{5} }{3 {}^{2} } - 5 \times ( - 3) + \sqrt[3]{ - 27} \\ = - 5 + {3}^{5 - 2} + 15 + ( - 3) \\ = - 5 + {3}^{3} + 15 - 3 \\ = - 5 + 27 + 12 = \\ = 34$

d)

$= \frac{(17 - 15) {}^{3} + (7 - 12) {}^{2} }{(6 - 7)(12 - 23)} \\ = \frac{ {(2)}^{3} + {( - 5)}^{2} }{( - 1) \times ( - 11)} \\ = \frac{8 + 25}{11} \\ = \frac{33}{11} \\ = 3$

2)

a)

$= 5 {}^{4} \times 5 {}^{8} \\ = {5}^{8 + 4} \\ = {5}^{12}$

b)

$= 12 {}^{6} \times 12 {}^{3} \\ = {12}^{6 + 3} \\ = 12 {}^{9}$

c)

$= {4}^{3} \times {4}^{ 3} \times {4}^{1} \\ = {4}^{3 + 3 + 1} \\ = 4 {}^{7}$

d)

$= 7 {}^{3} \times 7 {}^{2} \times {7}^{4} \\ = 7 {}^{3 + 2 + 4} \\ = {7}^{9}$