Solve the expression 2 ( 1.6^0 + 7 ) - 4.9^0

Answer 1

To solve the expression \( 2 ( 1.6^0 + 7 ) - 4.9^0 \), we first need to evaluate the exponentials involving zero.

1. Any non-zero number raised to the power of 0 is equal to 1. Therefore:
   • \( 1.6^0 = 1 \)
   • \( 4.9^0 = 1 \)

Now substituting these values back into the expression we have:

\[ 2 ( 1 + 7 ) - 1 \]

2. Next, simplify inside the parentheses:
   • \( 1 + 7 = 8 \)

So now our expression is:

\[ 2 ( 8 ) - 1 \]

3. Now, multiply:

   • \( 2 \times 8 = 16 \)

4. Finally, subtract 1:

   • \( 16 - 1 = 15 \)

Thus, the result of the expression \( 2 ( 1.6^0 + 7 ) - 4.9^0 \) is:

\[ \boxed{15} \]