Solve the expression 2(1.6^0+7)−4.9^0

.(1 point)
2(1.6^0+7)−4.9^0=
 .

1 answer

To solve the expression \( 2(1.6^0 + 7) - 4 \cdot 9^0 \), we can break it down step by step.

  1. We know that any number raised to the power of 0 is equal to 1. Therefore: \[ 1.6^0 = 1 \quad \text{and} \quad 9^0 = 1 \]

  2. Substitute these values into the expression: \[ 2(1 + 7) - 4 \cdot 1 \]

  3. Now simplify the expression inside the parentheses: \[ 2(8) - 4 \]

  4. Calculate \( 2 \cdot 8 \): \[ 16 - 4 \]

  5. Finally, perform the subtraction: \[ 16 - 4 = 12 \]

Thus, the result of the expression \( 2(1.6^0 + 7) - 4 \cdot 9^0 \) is \( \boxed{12} \).