Question

3x10 to the 7 power x9x10 to the 8 power

Answer 1

To multiply the numbers \(3 \times 10^7\) and \(9 \times 10^8\), you can follow these steps:

1. Multiply the coefficients (the numbers in front):
\[
3 \times 9 = 27
\]

2. Multiply the powers of ten by adding the exponents:
\[
10^7 \times 10^8 = 10^{7 + 8} = 10^{15}
\]

3. Combine the results:
\[
27 \times 10^{15}
\]

So, the final result is:
\[
27 \times 10^{15}
\]

Alternatively, you can express \(27 \times 10^{15}\) in scientific notation as:
\[
2.7 \times 10^{16}
\]

Both forms, \(27 \times 10^{15}\) and \(2.7 \times 10^{16}\), are correct.