Respuesta :

Given:

The given monomial expression is [tex]\frac{16 y^{8}}{4 y^{2}}[/tex]

We need to simplify the given monomial expression.

Simplification:

Let us simplify the given expression.

Dividing the numbers 16 and 4, we get;

[tex]\frac{4 y^{8}}{y^{2}}[/tex]

Let us apply the exponent rule  [tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex] in the above expression.

Thus, we get;

[tex]4 y^{8-2}[/tex]

Subtracting the numbers in the numerator of the above expression, we get;

[tex]4 y^{6}[/tex]

Thus, the simplified expression is [tex]4 y^{6}[/tex]