Find the minimum value of `4^sin^(2x)+4^cos^(2x)` .

Explanation

To find the minimum value of the expression \( 4^{\sin^2 x} + 4^{\cos^2 x} \), we can use the Arithmetic Mean-Geometric Mean (AM-GM) inequality. Here’s a step-by-step solution:

### Step 1: Rewrite the expression
The expression can be rewritten as:
\[ 4^{\sin^2 x} + 4^{\cos^2 x} \]

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