# Solve for y 125=(1/25)^(y-1) Rewrite the equation as .
Apply the product rule to .
One to any power is one.
Move to the numerator using the negative exponent rule .
Create equivalent expressions in the equation that all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for .
Simplify.
Apply the distributive property.
Multiply by .
Divide each term by and simplify.
Divide each term in by .
Simplify .
Simplify the expression.
Move the negative one from the denominator of .
Rewrite as .
Apply the distributive property.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for y 125=(1/25)^(y-1)

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