Question

scientific notation of (4 x 10^26) x (3.15 x 10^7)

Answer 1

express the answer to exact decimal place

Answer 2

To multiply the two numbers in scientific notation, you can multiply the coefficients and add the exponents.

Given:

\[
(4 \times 10^{26}) \times (3.15 \times 10^{7})
\]

1. **Multiply the coefficients**:
\[
4 \times 3.15 = 12.6
\]

2. **Add the exponents**:
\[
26 + 7 = 33
\]

So, we have:

\[
12.6 \times 10^{33}
\]

Next, we need to express \(12.6\) in proper scientific notation. We can write \(12.6\) as \(1.26 \times 10^{1}\). Therefore, we can rewrite:

\[
12.6 \times 10^{33} = 1.26 \times 10^{1} \times 10^{33}
\]

When you combine the exponents:

\[
1.26 \times 10^{34}
\]

Thus, the final result in scientific notation is:

\[
1.26 \times 10^{34}
\]

Answer 3

The product of \( (4 \times 10^{26}) \times (3.15 \times 10^{7}) \) calculated as \( 1.26 \times 10^{34} \) can be expressed as a decimal by expanding the scientific notation.

To convert \( 1.26 \times 10^{34} \) into decimal form:

1. Start with \( 1.26 \).
2. Move the decimal point 34 places to the right.

This gives:

- Move the decimal point 2 places to get \( 126 \).
- Now you have \( 126 \), and you'll still need to move it 32 more places to the right.

By adding 32 zeros after 126, the result is:

\[
1260000000000000000000000000000000
\]

Thus, \( 1.26 \times 10^{34} \) in exact decimal form is:

\[
1260000000000000000000000000000000
\]

If you need it in a specified format, such as with a specific number of decimal places, please let me know!