Respuesta :

Answer: Option A.

Step-by-step explanation:

You need to remember the Quotient property of powers, which states the following:

[tex]\frac{p^m}{p^n}=p^{(m-n)}[/tex]

Then, given the expression [tex]\frac{a^3b^2}{a^2b}[/tex], you need to apply this property to simplify this expression.

Therefore, you get:

[tex]=a^{(3-2)}b^{(2-1)}\\\\=a^1b^1\\\\=ab[/tex]

As you can observe, this matches with the option A.

Answer:

The correct answer is option A.  ab

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

X⁻ᵃ = 1/Xᵃ

Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾

To find the correct answer

It is given that,

a³b²/a²b

By using above identities we can write,

a³b²/a²b = a⁽³ ⁻ ²⁾b⁽² ⁻ ¹⁾

 = a¹b¹ = ab

Therefore the answer is ab

The correct option is option A.  ab