Question

37. Calculati:
a) (-9) la puterea 73 : 3 la puterea 144 - 16 la puterea 12 : 4 la puterea 23
b) [(-4)² - ( -3 )⁷⁷ : (-3)⁷⁵] :7
c) (3⁵)⁴ :[3⁵ × (-3³)⁶ : (3²)⁵]
Urgent va rog !
Multumesc!​

Answer 1

Explicație pas cu pas:

a)

$(- 9)^{73} \div {3}^{144} - {16}^{12} \div {4}^{23} = - 9^{73} \div {3}^{2 \times 72} - {( {4}^{2} )}^{12} \div {4}^{23} = - 9^{73} \div {9}^{72} - {4}^{24} \div {4}^{23} = - 9 - 4 = - 13$

b)

$\left[ {( - 4)}^{2} - {( - 3)}^{77} \div {( - 3)}^{75} \right] \div 7 = ({4}^{2} - {3}^{2}) \div 7 = (16 - 9) \div 7 = 7 \div 7 = 1$

c)

${( {3}^{5} )}^{4} \div \left[ {3}^{5} \times ( - {3}^{3} )^{6} \div {( - {3}^{2}) }^{5}\right] = {3}^{20} \div \left[ {3}^{5} \times {3}^{18} \div( - {3}^{10})\right] = {3}^{20} \div \left[ {3}^{23} \div( - {3}^{10})\right] = {3}^{20} \div ( - {3}^{13}) = - {3}^{7}$