SOLUTION: Multiply: leave answer in scientific notation (4.0 * 10^-3)(3.0 * 10^-8)(2.0 * 10^4)

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Question 209387: Multiply: leave answer in scientific notation
(4.0 * 10^-3)(3.0 * 10^-8)(2.0 * 10^4)
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
(4.0 * 10^-3)(3.0 * 10^-8)(2.0 * 10^4)

Let's 1st multiply the decimals:
4.0 * 3.0 * 2.0 = 24, or, 2.4 x 10%5E1

Now let's multiply the base-10 powers: %2810%5E-3%29%2A%2810%5E-8%29%2A%2810%5E4%29. Since these expressions have the same base, then using the law of exponents, we just add their exponenets. Therefore, we get: 10%5E%28-3%2B-8%2B4%29 = %2810%5E-7%29

We now have 2.4 x 10%5E1 x 10%5E-7

Once again, we add the exponents with the same base of 10 to get highlight_green%282.4%29 x highlight_green%2810%5E-6%29