Question

Simplyfy this expression

Answer 1

Answer: OPTION D

Step-by-step explanation:

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

- The negative exponent rule says that:

$a^{-n}=\frac{1}{a^{n}}$

- Power to power rule is:

$(a^{m})^{n}=a^{(m*n)}$

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

$\frac{3m^{-2}}{5n^{-3}}=\frac{3n^{3}}{5m^{2}}$

Answer 2

Answer:

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

3n³/5m²

Step-by-step 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