Respuesta :

Answer:

[tex]x^{-2}y^{-5}[/tex]

Step-by-step explanation:

The options are not given; however, the question can still be solved

Given

[tex]y^{-8}y^3x^0x^-2[/tex]

Required

Simplify

Start by rewriting the expression

[tex]y^{-8} * y^3 * x^0 * x^{-2}[/tex]

Apply the following laws of indices: [tex]a^x * a^y = a^{x+y}[/tex]

This gives:

[tex]y^{-8+3} * x^{0-2}[/tex]

Evaluate the exponents

[tex]y^{-5} * x^{-2}[/tex]

[tex]x^{-2}y^{-5}[/tex]

Hence, [tex]x^{-2}y^{-5}[/tex] is equivalent to [tex]y^{-8}y^3x^0x^-2[/tex]

Answer:

The answer is- (Drumroll)

Step-by-step explanation:

The answers are [tex]x^-2y^-5[/tex], and [tex]1/x^2y^5[/tex]