Question

expresa con una sola potencia
por favor!!​

Answer 1

Hola!

Respuesta:

a) 3^18

b) 5^18

c) 3^8

d) 4^2

Explicación paso a paso:

■》Solucion:

${( {3}^{2}) }^{5} . {( {3}^{4}) }^{2} \\ = {3}^{2 \times 5} . {3}^{4 \times 2} \\ = {3}^{10} . {3}^{8} \\ = {3}^{10 + 8} \\ = {3}^{18}$

${( {5}^{3} )}^{4} . {( {5}^{2} )}^{3} \\ = {5}^{3 \times 4} . {5}^{2 \times 3} \\ = {5}^{12} . {5}^{6} \\ = {5}^{12 + 6} \\ = {5}^{18}$

${3}^{9} \div [ {( {3}^{2}) }^{5} \div {3}^{6} ]. {3}^{3} \\ = {3}^{9} \div [ {3}^{2 \times 5} \div {3}^{6} ]. {3}^{3} \\ = {3}^{9} \div [ {3}^{10} \div {3}^{6} ]. {3}^{3} \\ = {3}^{9} \div [ {3}^{10 - 6} ]. {3}^{3} \\ = {3}^{9} \div [ {3}^{4} ]. {3}^{3} \\ = {3}^{9 - 4} . {3}^{3} \\ = {3}^{5} . {3}^{3} \\ = {3}^{5 + 3} \\ = {3}^{8}$

${4}^{7} .[ {4}^{9} \div {( {4}^{2}) }^{3} ] \div {4}^{8} \\ = {4}^{7} .[ {4}^{9} \div {4}^{2 \times 3} ] \div {4}^{8} \\ = {4}^{7} .[ {4}^{9} \div {4}^{6} ] \div {4}^{8} \\ = {4}^{7} .[ {4}^{9 - 6} ] \div {4}^{8} \\ = {4}^{7} . {4}^{3} \div {4}^{8} \\ = {4}^{7 + 3} \div {4}^{8} \\ = {4}^{10} \div {4}^{8} \\ = {4}^{10 - 8} \\ = {4}^{2}$