Write the number 2, point, 2, times, 10, to the power 42.2×10

To write \( 2.2 \times 10^{42.2} \) in standard form, you want to express it in a more precise format.

First, we need to convert \( 10^{42.2} \) into a more manageable form:

1. Separate \( 10^{42.2} \) into \( 10^{42} \) and \( 10^{0.2} \):
\[
10^{42.2} = 10^{42} \times 10^{0.2}
\]

2. We know \( 10^{0.2} \) is equal to about \( 1.5849 \) (using a calculator or logarithm tables).

3. Now, substitute this back into the equation:
\[
2.2 \times 10^{42.2} = 2.2 \times 10^{42} \times 1.5849
\]

4. Calculate \( 2.2 \times 1.5849 \):
\[
2.2 \times 1.5849 \approx 3.48778
\]

5. Therefore, combining these results gives:
\[
2.2 \times 10^{42.2} \approx 3.48778 \times 10^{42}
\]

So, the number \( 2.2 \times 10^{42.2} \) in standard form is approximately:

\[
3.48778 \times 10^{42}
\]

If you want to express it with fewer decimal places, you could round it to \( 3.49 \times 10^{42} \) or keep it more precise as needed.