(adsbygoogle = window.adsbygoogle || []).push({}); Explanation of a "simple" exponent rule in a derivative problem needed

After differentiation, I get this : 9(t-2/2t+1)^{8}* 5/(2t+1)^{2}

Now this simplifies into 45(t-2)/(2t+1)^{10}

Now, I am wondering what the property is that combines the exponent from the top with the bottom to get an power of 10 in the simplified form.

*Note. the t-2/2t+1 is t-2over2t+1, the 5/(2t+1)^{2}is 5over(2t+1)^{2}, and the 45(t-2)/(2t+1)^{10}is 45(t-2)over(2t+1)^{10}.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Explanation of a simple exponent rule in a derivative problem needed

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