Question

NEED THE ANSWER PLEASE...

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

The correct answer option is D.
`\frac { 3 n ^ { 3 } } { 5 m ^ { 2 } }`.

Explanation:

We are given the following expression and we are to simplify it:

`\frac { 3 m ^ { - 2 } } { 5 n ^ { - 3 } }`

Here the variables
`m` and
`n` are having negative powers. So to change these powers from negative to positive, we will take their reciprocals to get:

`\frac { 3 n ^ { 3 } } { 5 m ^ { 2 } }`