How do you evaluate the expression for #2^x# if #x=-2# and if #x=3#?

1 Answer
Jan 6, 2017

For each of these you substitute the value for #x# in the expression.

Problem 1: Solve for #x = −2#

#2^-2#

We can use this rule for exponents to rewrite this problem:

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

#2^color(red)(-2)#

#1/2^color(red)(- - 2)#

#1/2^color(red)(2)#

#1/4#

Problem 1: Solve for #x = 3#

#2^3#

#2 xx 2 xx 2#

#8#