How do you simplify #3^3div3^-1#?

1 Answer
Jan 3, 2017

Answer:

See simplification procedure below using rules for exponents.

Explanation:

First, we can rewrite this expression as:

#3^3/3^-1#

Now we can use the following rule for exponents to start the simplification:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

Apply this rule to our expression gives:

#3^color(red)(3)/3^color(blue)(b) = 3^(color(red)(3)-color(blue)(-1)) = 3^(color(red)(3)+color(blue)(1)) = 3^4 = #

#3 xx 3 xx 3 xx 3 = (3 xx 3) xx (3 xx 3) = 9 xx 9 =#

#81#