Question

ДАЮ 100 БАЛОВ СРОЧНО !!!!!!!​

Answer 1

Пошаговое объяснение:

$a) {125}^{ - 4} \times {25}^{2} \div {5}^{ - 9} = {( {5}^{3} )}^{ - 4} \times {( {5}^{2} )}^{2} \div {5}^{ - 9} = {5}^{ - 12} \times {5}^{4} \div {5}^{ - 9} = {5}^{ - 12 + 4 + 9} = {5}^{1} = 5$

$b) {( {36}^{ - 2}) } \times {( {6}^{ - 3}) }^{ - 5} \times {6}^{ - 10} = {( {6}^{2} )}^{ - 2} \times {6}^{15} \times {6}^{ - 10} = {6}^{ - 4 + 15 - 10} = {6}^{1} = 6$

$c)81 \times {27}^{ - 5} \div {( {9}^{2} )}^{ - 3} = {3}^{4} \times {( {3 }^{3}) }^{ - 5} \div {( {( {3} ^{2} )}^{2} )}^{ - 3} = {3}^{4} \times {3}^{ - 15} \div {3}^{ - 12} = {3}^{4 - 15 + 12} = {3}^{1} = 3$