Simplify the expression (startfraction 1 over 4 a b endfraction) superscript negative 2. assume a not-equals 0, b not-equals 0.

The simplest form of the expression is 16 a²b²

Step-by-step explanation:

* Lets explain how to solve the problem

- To simplify any fraction with exponent you must put it with positive

 exponent

- Ex: the fraction not in the simplest form

 because it has negative exponent

- To change the negative exponent to positive exponent reciprocal the

 fraction, and this is the simplest form of the fraction

* Now lets solve the problem

∵ The expression is , where a and b ≠ 0

- At first reciprocal the fraction

∴

- Then solve the power

∵ 4² = 16

∵ (ab)² = a²b²

∴ (4ab)² = 16 a²b²

* The simplest form of the expression is 16 a²b²