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const2013 [10]
3 years ago
14

How would you solve this problem? ((2x^12y^3)/(x^10y))^-5

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0
There is no equals sign. Are we looking for x, or y?

Either way, with the -5 exponent outside the parentheses, you can multiply that to each exponent in the fraction to get rid of it.

I'm not sure what you mean by 2x^12y^3. Is it an exponent within another exponent?
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Answer:

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it is a bit unclear to me, what that problem description means.

if I understand it correctly, than z is directly depending on x².

so, z = 16 for x = 2. x² = 4

I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).

I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²

that would mean

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