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Korolek [52]
4 years ago
13

NEED THE ANSWER PLEASE...

Mathematics
2 answers:
sesenic [268]4 years ago
7 0

<u>Answer:</u>

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

<u>Step-by-step explanation:</u>

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 } }

Furkat [3]4 years ago
4 0

Answer:

The correct answer is option D

3n³/5m²

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

X⁻ᵃ = 1/Xᵃ

Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾

<u>To find the correct answer </u>

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

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