The exponential equation will be y = 10 (0.1)ˣ.
The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table of data is given.
x f(x)
-2 128
-1 27
0 5
1 1
2 0.1
Then the equation will be
f(x) = abˣ
At x = 1, the value of f(x) is 1.
1 = ab ...1
At x = 2, the value of f(x) is 0.1.
0.1 = ab² ...2
Then from equations 1 and 2, we have
0.1 = b
Then the value of a will be
a = 1 / 0.1
a = 10
Then the exponential equation will be
y = 10 (0.1)ˣ
More about the exponent link is given below.
https://brainly.com/question/5497425
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