Question

Need the answer please.

Answer 1

The correct answer is option A. ab

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

Answer 2

Answer: Option A.

Explanation:

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

`(p^m)/(p^n)=p^((m-n))`

Then, given the expression
`(a^3b^2)/(a^2b)`, you need to apply this property to simplify this expression.

Therefore, you get:

`=a^((3-2))b^((2-1))\\\\=a^1b^1\\\\=ab`

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