Question

evaluate $5 + 3^x$ for (a) $x = -2$ and (b) $x = 3$. write your answers in simplest form.

a. the expression is $\square$ when $x = -2$.

Explanation:

Step1: Substitute $x=-2$ into expression

$5 + 3^{-2}$

Step2: Rewrite negative exponent as fraction

$5 + \frac{1}{3^2}$

Step3: Calculate the power

$5 + \frac{1}{9}$

Step4: Add the terms

$\frac{45}{9} + \frac{1}{9} = \frac{46}{9}$

Step5: Substitute $x=3$ into expression

$5 + 3^{3}$

Step6: Calculate the power

$5 + 27$

Step7: Add the terms

$32$

Answer:

a. $\frac{46}{9}$
b. $32$