Question

6) reduza a uma so potencia. (mesma base)

a) (2/3)^-5 . (2/3)^2
b) (-5/4)^-1 : (-5/4)^-6
c) (-4/5)^-2 : (-4/5)^5
d) [(-3/2)^2]^-3
e) [(-3/2)^2]^-3

Answer 1

a)

${( \frac{2}{3}) }^{ -5 } \times {( \frac{2}{3} )}^{2} = {( \frac{2}{3}) }^{ - 5 + 2} = {( \frac{2}{3}) }^{ - 3}$

b)

${( \frac{ - 5}{4}) }^{ - 1} \div {( \frac{ - 5}{4} )}^{ - 6} = {( \frac{ - 5}{4}) }^{ - 1 - ( - 6)} = {( \frac{ - 5}{4}) }^{5}$

c)

${( \frac{ - 4}{5} )}^{ - 2} \div {( \frac{ - 4}{5}) }^{5} = {( \frac{ - 4}{5}) }^{ - 2 - 5} = {( \frac{ - 4}{5}) }^{ - 7}$

d)

${ ({( \frac{ - 3}{2}) }^{2}) }^{ - 3} = {( \frac{ - 3}{2}) }^{2 \times ( - 3)} = {( \frac{ - 3}{2}) }^{ - 6}$

e)

${ ({( \frac{ - 3}{2}) }^{2}) }^{ - 3} = {( \frac{ - 3}{2}) }^{2 \times ( - 3)} = {( \frac{ - 3}{2}) }^{ - 6}$