Question

scientific 1.04 /division sign 10^4 x 2.496 /division 10^10

Answer 1

express to the exact decimal place

Answer 2

To simplify the expression \((1.04 / 10^4) \times (2.496 / 10^{10})\), you can follow these steps:

1. **Multiply the numerical coefficients**:
\[
1.04 \times 2.496 = 2.601984
\]

2. **Add the exponents of the powers of 10**:
\[
10^{-4} \times 10^{-10} = 10^{-4-10} = 10^{-14}
\]

3. **Combine the results**:
\[
(1.04 / 10^4) \times (2.496 / 10^{10}) = \frac{2.601984}{10^{14}}
\]

Thus, the final answer in scientific notation is:

\[
2.601984 \times 10^{-14}
\]

If you prefer it formatted according to scientific notation conventions (1 < a < 10), you would adjust it:

\[
2.601984 \times 10^{-14} = 2.601984 \times 10^{-14}
\]

So, the final result is:

\[
2.601984 \times 10^{-14}
\]

Answer 3

To express the result \(2.601984 \times 10^{-14}\) in exact decimal form, we need to move the decimal point 14 places to the left. This can be done as follows:

\[
2.601984 \times 10^{-14} = 0.0000000000002601984
\]

So, in exact decimal form, the answer is:

\[
0.0000000000002601984
\]

This gives a total of 14 leading zeros to the left of the significant digits (2601984) after shifting the decimal point 14 places.