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.

Simplify .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Simplify .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

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

Add to both sides of the equation.

Add and .

Move all terms not containing to the right 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 .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for z 16^(2z+1)=8^(3-4z)