Question

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

(6) 1,00,00,000, base 10

Answer 1

Because 10 is the base, we will take it as a factor for writing 1,00,00,000 in multiplication form.

Thus, we have:

$\begin{array}{cc}10& 1,00,00,000\\ 10& 1,00,00,00\\ 10& 1,00,000\\ 10& 10,000\\ 10& 1,000\\ 10& 100\\ 10& 10\\ & 1\end{array}$

⇒ 1,00,00,000 = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁷