Question

125^n=1/25
what does n equal?

Answer 1

GIVEN :

125^n=1/25

TO FIND :

the value of n

solution :

=> 125^n=1/25

___(125 = 5×5×5 = 5³)

___( 5 ×5=25)

=> (5³)^n = (1/5)²

____[ (a^s)^p = a^sp]

____[ (1/a)^r = a^-r]

=> therefore , 5^3n = 5^-2

=> 3n = -2

=> n = -2/3

ANSWER : n = -2/3