Question

${7}^{14} \times {7}^{31 }$
${16}^{11} \times {16}^{22}$
${3}^{3} \times {3}^{8}$
${2}^{21} \div {2}^{21}$
${75}^{11} \div {75}^{81}$
${3}^{25} \div {3}^{18}$

Answer 1

$a){7}^{14} \times {7}^{31} = {7}^{14 + 31} = {7}^{45}$

$b) {16}^{11} \times {16}^{22} = {16}^{11 + 22} = {16}^{33}$

$c) {3}^{3} \times {3}^{8} = {3}^{3 + 8} = {3}^{11}$

$d) {2}^{21} : {2}^{21} = {2}^{21-21} = {2}^{0} = 1$

$e) {75}^{11} : {75}^{81} = {75}^{11 - 81} = {75}^{ - 70} = \frac{1}{ {75}^{70} }$

$f) {3}^{25} : {3}^{18} = {3}^{25 - 18} = {3}^{7}$