In Exercises 87–106, perform the indicated computations. Write th...

Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (6.1×10^−8)(2×10^−4)

Accepted Answer

Hello everyone. Let's look at our next problem. It says perform the indicated operation and express the answer in scientific notation. And we're multiplying two terms that are already expressed in scientific notation. So we don't need to worry about changing them. I am going to rewrite them so they're not spread out over two lines. A little easier to see. Got 2.3 times 10 to the minus six times three times 10 to the minus eight. So we'll start by multiplying 2.3 times three. And we remember we have one decimal place here. So our answer is 6.9 And that's going to be multiplied by 10. Since we're multiplying exponents we're going to add those exponents together. So 10 to the minus six plus minus eight power. So that is going to equal 6.9 times 10 to the -14 power. And when we look at our answer choices we see that we have that as an option choice C6.9 times 10 to the -14. And we can check that. That answer makes sense because we've got two very small numbers with these negative exponents and when we multiply them they're going to get even smaller and that is what happened. We have a larger negative exponent. Thanks for watching. See you in the next video