Question

NEED HELP PLEASE WITH THIS QUESTION

Answer 1

The correct answer is option D

3n³/5m²

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,

3m⁻²/5n⁻³

By using identities we can write,

m⁻² = 1/m² and 1/n⁻³ = n³

3m⁻²/5n⁻³ = 3n³/5m²

Therefore the correct answer is option D. 3n³/5m²

Answer 2

Answer: Option D

D.
`(3n^(3))/(5m^(2))`

Explanation:

Use the following property of the exponents to simplify the expression.

We know that:

`a^(-x)=(1)/(a^x)`

So for the expression

`(3m^(-2))/(5n^(-3))`

Using the aforementioned property we have that:

`(3m^(-2))/(5n^(-3))= (3*(1)/(m^2))/(5*(1)/(n^3))\\\\\\(3*(1)/(m^2))/(5*(1)/(n^3))=(3n^(3))/(5m^(2))`

Finally the answer is the option D