The simplified form of given expression is [tex]\frac{z^{3}}{x y^{2}}[/tex]
Answer: Option B
Step-by-step explanation:
Given expression:
[tex]\frac{4 x^{0} y^{-2} z^{3}}{4 x}[/tex]
To find the simplified form of the given expression
We know, x to the power 0 is equal to 1. i.e. [tex]x^{0}=1[/tex]. Therefore, it gets removed in the given expression.
[tex]\frac{4 y^{-2} z^{3}}{4 x}[/tex]
As common ‘4’ in numerator and denominator also gets cancelled in the given expression
[tex]\frac{y^{-2} z^{3}}{x}[/tex]
Bring negative exponents (in numerator) down (to denominator) to form positive exponents, we get the simplified form of given expression as below,
[tex]\frac{z^{3}}{x y^{2}}[/tex]