Question

Simplyfy this expression

Answer 1

The correct answer is , the simplified form of expression 3m⁻²/5n⁻³ is

3n³/5m²

Explanation:

Identities

x⁻ᵃ = 1/xᵃ

1/x⁻ᵃ = xᵃ

The given expression is 3m⁻²/5n⁻³

To simplify the expression

By using the above identities we ca write,

3m⁻²/5n⁻³ = 3n³/5m² (since x⁻ᵃ = 1/xᵃ and 1/x⁻ᵃ = xᵃ)

The simplified form of expression 3m⁻²/5n⁻³ is 3n³/5m²

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

Answer 2

Answer: OPTION D

Explanation:

To solve this problem you must keep on mind the following:

- The negative exponent rule says that:

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

- Power to power rule is:

`(a^(m))^(n)=a^((m*n))`

Therefore, keeping the information above on mind, you obtain:

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