Question

g) 5³^x: 5²^x
h) ( 0,5²)²​

Answer 1

Resposta:

$a) {2}^{3} \times {2}^{4 } = {2}^{3 + 4} \\ = {2}^{7} \\ b)( - 4 {)}^{3} \div ( - 4 {)}^{5} = ( - 4 {)}^{3 - 5} \\ = ( - 4 {)}^{ - 2} \\ = \frac{ {1}^{2} }{( - 4)}$

$c)( - 3 {)}^{3} \times ( - 3 {)}^{5} \times ( - 3 {)}^{ - 7} \\ = ( - 3 {)}^{3 + 5 - 7} \\ = ( - 3 {)}^{1}$

$a) {2}^{3} \times {2}^{4 } = {2}^{3 + 4} \\ = {2}^{7} \\ ( - 4 {)}^{3} \div ( - 4 {)}^{5} = ( - 4 {)}^{3 - 5} \\ = ( - 4 {)}^{ - 2} \\ = \frac{1}{ {( - 4)}^{2} }$

$d)( {2}^{2 } {)}^{4 } = {2}^{2 \times 4} \\ = {2}^{8}$

$e) {6}^{ - 3} \div {6}^{5} \times {6}^{ - 7} = {6}^{ - 3 - 5 - 7} \\ = {6}^{ - 15} \\ = ( \frac{1}{6} {)}^{15}$

$f) \frac{ {7}^{3} \times {7}^{6} }{ {7}^{8} } = \frac{ {7}^{3 + 6} }{ {7}^{8} } \\ = \frac{ {7}^{9} }{ {7}^{8} } \\ = {7}^{9 - 8} \\ = {7}^{1} = 7$