Question

Simplify the following expression

Answer 1

The simplified form of given expression is $\frac{z^{3}}{x y^{2}}$

Answer: Option B

Step-by-step explanation:

Given expression:

         $\frac{4 x^{0} y^{-2} z^{3}}{4 x}$

To find the simplified form of the given expression

We know, x to the power 0 is equal to 1. i.e. $x^{0}=1$. Therefore, it gets removed in the given expression.

         $\frac{4 y^{-2} z^{3}}{4 x}$

As common ‘4’ in numerator and denominator also gets cancelled in the given expression

        $\frac{y^{-2} z^{3}}{x}$

Bring negative exponents (in numerator) down (to denominator) to form positive exponents, we get the simplified form of given expression as below,

       $\frac{z^{3}}{x y^{2}}$