Question

guided practice
exponential functions
type your answer and then click or tap done.
what is the value of 2(0.5)^0?
(chart: x values -2, -1, 0, 1, 2; 2(0.5)^x column with 2(0.5)^{-2}, 2(0.5)^{-1}, 2(0.5)^0, 2(0.5)^1, 2(0.5)^2; y values 8, 4, blank, 1, blank)

Explanation:

Step1: Recall the zero - exponent rule

The zero - exponent rule states that for any non - zero number \(a\), \(a^{0}=1\) (where \(a = 0.5\) in our case, and \(0.5
eq0\)).

Step2: Substitute into the expression

We are given the expression \(2(0.5)^{0}\). Using the zero - exponent rule, \((0.5)^{0}=1\). Then we multiply this result by 2: \(2\times1 = 2\).

Answer:

2