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mth 158
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
assignment 2
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* R.2.94. Express [ 5 x^-2 / (6 y^-2) ] ^ -3 with only positive exponents and explain how you used the laws of exponents to get your result.
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I don't understand these types of problems at all, even after going through your answers a few times over. I don't know why, but it's just not computing with me. Can you help? What exactly is the step-by-step process and why does it work?
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Here is a series of expressions and their simplified form.
The laws of exponents include the following:
x^(-a) = 1 / x^a
x^a * x^b = x^(a + b)
plus others. Those listed above are the most relevant to these questions, but the others might also be needed.
Using these laws, can you explain why each of the following is so?
x^(-4) * x^3 = 1 / x
(x^2)^3 = x^6
(x^3)^(-2) = 1 / x^6
x^4 / x^-2 = x^6
x^4 / (x^-2)^3 = x^10
(x^3 / y^2)^4 = x^12 / y^8
(x^2 / y^-3)^5 = x^10 * y^15
In each step explain in detail how the laws of exponents apply.
If you submit your work on these questions, then submit the problem R.2.94 and its given solution (so I don't repeat anything, which wouldn't do either of us any good), we can continue to explore this situation.
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