Question

Simplify the following expression

4x0 y-2 z3 4x
A) 0 4x
B) z3 xy2
C) 4z3 xy2
D) -y2z3

Answer 1

The simplified form of given expression is
`(z^(3))/(x y^(2))`

Answer: Option B

Explanation:

Given expression:

`(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.

`(4 y^(-2) z^(3))/(4 x)`

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

`(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,

`(z^(3))/(x y^(2))`