How do you evaluate the expression for #8*3^x# if #x=-2# and if #x=3#?

1 Answer
Jan 6, 2017

Answer:

See full explanation below.

Explanation:

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

Problem 1: Solve for #x = -2#

#8 * 3^(-2)#

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

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

#8*1/3^color(red)((- -2))#

#8*1/3^color(red)(2)#

#8*1/9#

#8/9#

Problem 1: Solve for #x = 3#

#8 * 3^3#

#8*27#

#216#