# How do you write each number as a power of the given base: 81; base 9?

Jun 30, 2017

$81 = {9}^{2}$

#### Explanation:

Write out the powers of 9 like this:

${9}^{1} = 9$

${9}^{2} = 9 \times 9 = 81 \text{ } \leftarrow$This is what we're looking for.

${9}^{3} = 9 \times 9 \times 9 = 729$

$\vdots$

Therefore, $81 = {9}^{2}$.