Hello there. We want to simplify the following expression:
10m^(10)n^5/(5m^(9)n^5)
First, we can rewrite this expression, to see it better, as:
10/5 * m^(10)/m^9 * n^5/n^5
Now, simplifying each fraction, we'll have:
10/5 = 2, simplifying both the numerator and denominator by a factor of 2
m^(10)/m^9 will need the quotient of powers:
So, we'll have: m^(10 - 9) = m^1. Then, m^1 = m.
Finally, n^5/n^5. Applying the same rule, n^(5 - 5) = n^0, then by definition, n^0 = 1.
The expression turns into:
2 * m * 1
Multiply the values
2m