Question

1) Aplique as propriedades das potencias (SÓ RESULTADO)

a) 5⁸ x 5⁻¹ x 5²
b) 3 x 3⁴
c)(3²)⁴
d)(5²) ⁻¹
e)(7⁻³)⁻²
f)2 x 2⁷ : 2⁴
g)(3⁴) ⁻⁵
h)7⁶ : 7⁻²
i)6⁵ x 6⁸ x 6
j) (4⁻⁷) ⁻⁸

Answer 1

a)comutativa
b)comutativa
c)associativa
d)associativa
e)associativa
Não sei o resto

Answer 2

$a) \: {5}^{8} \times {5}^{ - 1} \times {5}^{2} \\ {5}^{8 + ( - 1) + 2} \\ {5}^{9}$
$b) \: 3 \times {3}^{4} \\ {3}^{1 + 4} = {3}^{5}$

$c)( {3}^{2})^{4} = {3}^{4 \times 2} = {3}^{8}$
$d)( {5}^{2} )^{ - 1} = {5}^{2 \times ( - 1)} = {5}^{ - 2}$
$e)( {7}^{ - 3})^{ - 2} = {7}^{( - 3) \times ( - 2)} = {7}^{6}$
$f)2 \times {2}^{7} \div {2}^{4} \\ {2}^{1 + 7} \div {2}^{4} \\ {2}^{8} \div {2}^{4} \\ {2}^{8 - 4} = {2}^{4}$
$g)( {3}^{4})^{ - 5} = {3}^{4 \times ( - 5)} = {3}^{ - 20}$
$h) {7}^{6} \div {7}^{ - 2} = {7}^{6 - 2} = {7}^{4}$
$i) {6}^{5} \times {6}^{8} \times 6 = {6}^{5 + 8 + 1} = {6}^{14}$
$j) \: ( {4}^{ - 7})^{ - 8} = {4}^{( - 7) \times ( - 8)} = {4}^{56}$