Question

Write each of the following numbers in index form with the given base.

(3) 625, base 5

Answer 1

Because 5 is the base, we will take it as a factor for writing 625 in multiplication form.

Thus, we have:

$\begin{array}{cc}5& 625\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$

⇒ 625 = 5 × 5 × 5 × 5 = 5⁴