To solve the expression \( 2(1.6^0 + 7) - 4 \cdot 9^0 \), we first evaluate the terms with exponents.
-
We know that any non-zero number raised to the power of 0 is 1: \[ 1.6^0 = 1 \quad \text{and} \quad 9^0 = 1 \]
-
Substitute these values back into the expression: \[ 2(1 + 7) - 4 \cdot 1 \]
-
Now simplify the expression step by step:
- First, calculate the values inside the parentheses: \[ 1 + 7 = 8 \]
- Next, multiply by 2: \[ 2 \cdot 8 = 16 \]
- Then, calculate \( 4 \cdot 1 \): \[ 4 \cdot 1 = 4 \]
-
Now we can simplify the entire expression: \[ 16 - 4 = 12 \]
Thus, the final result is: \[ \boxed{12} \]