- #1

- 14

- 0

**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-2

*over*2t+1, the 5/(2t+1)

^{2}is 5

*over*(2t+1)

^{2}, and the 45(t-2)/(2t+1)

^{10}is 45(t-2)

*over*(2t+1)

^{10}.