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Simplify the expression r-3s5t2/r2st-2

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Answer:

The final answer is s⁴t⁴/r⁵

Explanation:

Let's simplify the expression r-3s5t2/r2st-2, this way:

1. Variable r:

We have r⁻³/r² = r ⁻³⁻² = r⁻⁵ = 1/r⁵

2. Variable s:

We have s⁵/s = s ⁵⁻¹ = s⁴/1 = s⁴

3. Variable t:

We have t²/t⁻² = t ²⁻⁽⁻²⁾ = t⁴/1 = t⁴

4. Adding the pieces:

We put variables together:

1/r⁵ * s⁴ * t⁴

The final answer is s⁴t⁴/r⁵

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