Answer:
Raise
125
to the power of
1
.
5
x
=
1
125
1
Move
125
1
to the numerator using the negative exponent rule
1
b
n
=
b
−
n
.
5
x
=
125
−
1
Create equivalent expressions in the equation that all have equal bases.
5
x
=
5
−
3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x
=
−
3
