Question

What is 5.5×10 to the fourth power multiplied by 2.2×10 to the -8th power written in scientific notation

Answer 1

To multiply the numbers in scientific notation, you can follow these steps:

1. Multiply the coefficients (the numbers in front).
2. Add the exponents of the powers of ten.

Given:

\[
5.5 \times 10^4 \quad \text{and} \quad 2.2 \times 10^{-8}
\]

1. **Multiply the coefficients:**
\[
5.5 \times 2.2 = 12.1
\]

2. **Add the exponents:**
\[
4 + (-8) = 4 - 8 = -4
\]

Now combine these results:

\[
12.1 \times 10^{-4}
\]

Since \(12.1\) is not between \(1\) and \(10\), we convert it to proper scientific notation:

\[
12.1 = 1.21 \times 10^1
\]

Thus:

\[
12.1 \times 10^{-4} = 1.21 \times 10^{1} \times 10^{-4} = 1.21 \times 10^{-3}
\]

Therefore, the final result written in scientific notation is:

\[
\boxed{1.21 \times 10^{-3}}
\]