Respuesta :

we have the expression

[tex]\frac{10m^{(10)}n^5}{5m^9n^5}=\frac{10}{5}\cdot\frac{m^{(10)}}{m^9}\cdot\frac{n^5}{n^5}[/tex]

we have that

Using the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer.

so

[tex]\frac{10}{5}\cdot\frac{m^{(10)}}{m^9}\cdot\frac{n^5}{n^5}=\frac{10}{5}\cdot m^{(10-9)}\cdot n^{5-5}=2^{}\cdot m^1\cdot n^0=2m[/tex]

the answer is 2m

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