Question

How do you simplify `\frac { c ^ { - 1} } { c ^ { 0} \cdot c ^ { 0} \cdot c ^ { 0} }`?

Answer 1

See the entire simplification process below:

Explanation:

First use this rule of exponents to simplify the denominator: `a^color(red)(0) = 1`

`c^-1/(c^color(red)(0) * c^color(red)(0) * c^color(red)(0)) = c^-1/(1 * 1 * 1) = c^-1/1 = c^-1`

Next, use these two rules to complete the simplification:

`x^color(red)(a) = 1/x^color(red)(-a)` and `a^color(red)(1) = a`

`c^color(red)(-1) = 1/c^color(red)(- -1) = 1/c^color(red)(1) = 1/c`