Question

Resolver aplicando propiedades de la potenciación

a) (-4)⁵ : (-4)³ =

b) (-3)³ : (-3)² =

c) (-2)⁴ : (-2) =

d) (8⁶)² : (8³)³ =​

Answer 1

Respuesta:

$a) {( - 4)}^{5} \div {( - 4)}^{3} = {( - 4)}^{5 - 3} = {( - 4)}^{2} = 16$

$b) {( - 3)}^{3} \div {( - 3)}^{2} = {( - 3)}^{3 - 2} = {( - 3)}^{1} = - 3$

$c) {( - 2)}^{4} \div ( - 2) = {( - 2)}^{4 - 1} = {( - 2)}^{3} = - 8$

$d) {( {8}^{6} )}^{2} \div {( {8}^{3} )}^{3} = {8}^{6 \times 2} \div {8}^{3 \times 3} = {8}^{12} \div {8}^{9} = {8}^{12 - 9} = {8}^{3} = 512$