Multiply. Write your answer in scientific notation. (4.5 x 10^10)(9.8 x 10^-12)

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

1. Multiply the coefficients: Multiply 4.5 by 9.8.
[

4.5 times 9.8 = 44.1

]

2. Add the exponents: Add the exponents of (10) together:

[

10^{10} times 10^{-12} = 10^{10 + (-12)} = 10^{-2}

]

3. Combine the results: Now, combine the coefficient and the power of ten:

[

44.1 times 10^{-2}

]

4. Convert to proper scientific notation: Since the coefficient (44.1) is not between 1 and 10, we adjust it:

[

44.1 = 4.41 times 10^1 quad Rightarrow quad 4.41 times 10^1 times 10^{-2} = 4.41 times 10^{-1}

]

Thus, the final answer in scientific notation is:

[

boxed{4.41 times 10^{-1}}

]

Keep practicing, and feel free to ask more questions if you need help!