# How do you write each number as a power of the given base: -64; base -4?

Sep 19, 2016

$- {4}^{3} = - 64$

#### Explanation:

It is a real advantage to know all the powers up to 1,000.

64 is one of the powers of 4. $\text{ } \rightarrow {4}^{3} = 64$

It is possible to have negative powers as long as the index is an odd number.

$- {4}^{3} = - 64$

Even indices always give a positive power.

${\left(- 4\right)}^{2} = + 16 \text{ and } {\left(- 4\right)}^{4} = + 256$