How do you simplify #4^-sqrt7#?

1 Answer
Oct 4, 2017

Answer:

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.