Hvad er (1/81) ^ (3/4)?

Hvad er (1/81) ^ (3/4)?
Anonim

Svar:

# (1/81) ^ (3/4) = farve (grøn) (1/27) #

Forklaring:

Siden # 81 = 9xx9 = 3xx3xx3xx3xx3 = 3 ^ 4 #

Derfor #81^(1/4)=3#

#(1/81)^(3/4)#

#COLOR (hvid) ("XXX") = ((1/81) ^ (1/4)) ^ 3 #

#COLOR (hvid) ("XXX") = ((1 ^ (1/4)) / (81 ^ (1/4))) ^ 3 #

#COLOR (hvid) ("XXX") = (1/3) ^ 3 #

#COLOR (hvid) ("XXX") = 1 / (3 ^ 3) #

#COLOR (hvid) ("XXX") = 1/27 #