Question

Question Attached in the photo. Please answer with an explanation!! I'm studying for a test tomorrow :,)

Answer 1

9514 1404 393

Answer:

A) 5×10^-7

Explanation:

When you factor out the powers of 10, you have ...

`((5*10^(-3))+(6*10^(-3)))/(2.2*10^4)=((5+6)*10^(-3))/(2.2*10^4)=(11)/(2.2)*10^(-3-4)\\\\=\boxed{5*10^(-7)}`

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There are a couple of things to notice here. One is that addition can only be carried out if the values have multipliers with the same power of 10. If they don't, one or the other needs to be adjusted so they do. In this problem, no adjustment is necessary.

Another thing to notice here is that the rules of exponents apply.

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

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If you set your (scientific or graphing) calculator to display numbers in scientific notation, you can perform this arithmetic on your calculator to see the simplified result. Of course, a spreadsheet can do this math and give you a scientific notation display, too.