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.

Multiply by .

Simplify .

Apply the distributive property.

Multiply by .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Dividing two negative values results in a positive value.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x (1/4)^x=8^(x-1)