Question

Question 77

How many times of 30 must be added together to get a sum equal to ${30}^7$?

Answer 1

Let n be the number of times that the 30 must be added together to get a sum equal to${30}^7$. Therefore we can write that
$\underset{n\text{times}}{\underset{}{30+30+\cdots +30={30}^7}}\Rightarrow 30\times n={30}^7\Rightarrow \frac{30\times n}{30}=\frac{{30}^7}{30}\Rightarrow n={30}^{7-1}\therefore n={30}^6$
Hence if 30 is added ${30}^6$ times , then we get ${30}^7$