Rewrite as .

Pull terms out from under the radical, assuming real numbers.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Rewrite the division as a fraction.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Multiply by .

Cancel the common factor.

Rewrite the expression.

Divide by .

Subtract from .

Simplify square root of cube root of a^12-((a^16)÷(a^15))^2