Let's solve the expression step-by-step:
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Evaluate \(1.6^0\) and \(9^0\):
- Any number raised to the power of 0 is 1. Therefore: \[ 1.6^0 = 1 \quad \text{and} \quad 9^0 = 1 \]
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Substitute these values into the expression: \[ 2(1.6^0 + 7) - 4 \cdot 9^0 = 2(1 + 7) - 4 \cdot 1 \]
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Calculate inside the parentheses: \[ 1 + 7 = 8 \] So the expression becomes: \[ 2(8) - 4 \]
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Multiply 2 by 8: \[ 2 \cdot 8 = 16 \] Now, we have: \[ 16 - 4 \]
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Subtract: \[ 16 - 4 = 12 \]
Therefore, the value of the expression \(2(1.6^0 + 7) - 4 \cdot 9^0\) is \(\boxed{12}\).