Respuesta :

Answer:

1/4

Step-by-step explanation:

The value of b is 1/4

We have given that,

An exponential function in the form y=64(b)^x contains the points (0,64) and (3,1).

What is the exponential equation?

[tex]y=64b^x\\x=0,y=64\\64=64b^0\\=64\times1\\=64[/tex]

(3,1)

x=3,y=1

[tex]1=64b^3\\b^3=\frac{1}{64} \\b=1/4[/tex]

b=1/4

The value of b is 1/4

To learn more about the exponential function visit:

https://brainly.com/question/12940982

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