Simplify: 100m¹2n4, m >= 0 n >= 0

Question

m ^ 3 * n * sqrt(10) m >= 0 n >= 0
25m³ n, m >= 0 n >= 0
100m2 n, m >= 0 n >= 0
100m³n, m >= 0 n >= 0

Answer 1

To simplify the expressions you've provided, we'll rewrite them in standard mathematical form:

1. 100m¹²n⁴

   • This expression is simply written as \(100m^2n^4\).

2. \(m^3 n \sqrt{10}\)

   • This is already in simplified form, so it remains \(m^3 n \sqrt{10}\).

3. \(25m³ n\)

   • This can be rewritten as \(25m^3n\).

4. \(100m² n\)

   • This expression is \(100m^2n\).

5. \(100m³n\)

   • This expression is \(100m^3n\).

Now, let's summarize the simplified forms:

1. \(100m^2n^4\)
2. \(m^3 n \sqrt{10}\)
3. \(25m^3n\)
4. \(100m^2n\)
5. \(100m^3n\)

If you are specifically looking for further simplification involving these expressions together, or specific comparisons, please clarify!