Let's break down the expression step by step:
The expression is:
\[ 2(1.6^0 + 7) - 4 \cdot 9^0 \]
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First, calculate \( 1.6^0 \) and \( 9^0 \):
- Any non-zero number raised to the power of 0 is 1. Therefore, \( 1.6^0 = 1 \) and \( 9^0 = 1 \).
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Substitute these values back into the expression: \[ 2(1 + 7) - 4 \cdot 1 \]
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Simplify inside the parentheses: \[ 2(8) - 4 \]
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Multiply: \[ 16 - 4 \]
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Subtract: \[ 12 \]
Thus, the solution to the expression \( 2(1.6^0 + 7) - 4 \cdot 9^0 \) is \( \boxed{12} \).