Question

C bigideasmath com BIG IDE AS MATH Evaluate 8*3^(x) for (a) x=-2 and (b) x=3

Answer 1

The function 8*3^(x) evaluates to 8/9 for x=-2 and to 216 for x=3, utilizing the properties of exponents.

Step-by-step explanation:

The student's question is about evaluating an exponential function at given values of x. Specifically, the function in question is 8*3^(x), and the student is asked to find its value for (a) x=-2 and (b) x=3. We can use the properties of exponents to solve this problem step by step.

For part (a), substituting x=-2 into the function:

• 8*3^(-2) = 8*(1/3^2) = 8*(1/9) = 8/9

For part (b), substituting x=3 into the function:

• 8*3^3 = 8*(27) = 216

Thus, the function evaluates to 8/9 when x=-2 and to 216 when x=3.