Respuesta :

Given the exponential equation:

[tex]\frac{1}{64}=2^{x+1}[/tex]

Let's find the solution to the equation.

Take the following steps.

Step 1:

Rewrite the equation

[tex]2^{x+1}=\frac{1}{64}[/tex]

Step 2:

[tex]2^{x+1}=\frac{1}{64^1}[/tex]

Step 3:

Apply the power rule to the right side of the equation

[tex]2^{x+1}=64^{-1}[/tex]

Step 4:

We know that: 2^6 = 64

Rewrite 64 as 2^6:

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