(1/81) ^ (3/4) क य ह ?

(1/81) ^ (3/4) क य ह ?
Anonim

उत तर:

# (1/81) ^ (3/4) = र ग (हर) (1/27) #

स पष ट करण:

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

इसल य #81^(1/4)=3#

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

#color (सफ द) ("XXX") = ((1/81) ^ (1/4)) ^ 3 #

#color (सफ द) ("XXX") = ((1 ^ (1/4)) / (81 ^ (1/4))) ^ 3 #

#color (सफ द) ("XXX") = (1/3) ^ 3 #

#color (सफ द) ("XXX") = 1 / (3 ^ 3) #

#color (सफ द) ("XXX") = 1/27 #