Answer:
1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.
2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.
3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.
Step-by-step explanation:
I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:
When you multiply, you add.
When you divide, you subtract.
When there are parentheses, you multiply.
In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.
Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!
intersects y-axis at -2 and passes through the point (3,-1).
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