Question

How do you simplify `4^-sqrt7`?

Answer 1

See a solution process below:

Explanation:

We can eliminate the negative exponent using this rule of exponents:

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

`4^color(red)(-sqrt(7)) => 1/4^color(red)(- -sqrt(7)) => 1/4^sqrt(7)`

If you need the actual number it is: 0.0255 rounded to the nearest thousandth.