Hey there! :)
I'd be happy to explain it! :D
So let's just focus on the 10^-3!
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Whenever you see anything with a negative exponent (-3 would be the exponent) you should "bring it down."
What do I mean by that?
10 ^ -3 is basically 10 ^ -3 / 1, right?
Like how 10 is 10/1, your value is also above one.
Whenever you "flip it," the exponent's sign changes! ( My instructor used to call it "bringing it downstairs." ).
So:
10^-3 ----> 1 / 10^3
The other way works too!
1/ 10 ^ -3 becomes 10^3
It's important that the exponent is positive, especially when you get to higher levels of math like calculus! I haven't encountered any scenarios where a negative exponent is acceptable, so make sure you remember this rule! There are many other ways to make an exponent positive, but this one is the most basic. :)
Take the reciprocal of your value (flip it) and it'll reverse the sign!
Another hint:
And whenever you're multiplying integers, their exponents add.
So:
x^2 • x ^2 = x ^4
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Anyway, I hope this mini tutorial helped! :)
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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!