# How do you write each number as a power of the given base: 49; base 7?

Jun 29, 2017

${7}^{2} = 49$

#### Explanation:

$49$ is a square number which can be written as $7 \times 7 = {7}^{2}$

${7}^{2} = 49$

$49$ is the second power of $7$

The powers of $7$ can be given as:

${7}^{0} = 1$
${7}^{1} = 7$
${7}^{2} = 49$
${7}^{3} = 343$
${7}^{4} = 2401$

and so on ... each time multiply by $7$ to find the next power.