Simplify the equation? Step by step.

Mathematics

1 answer:

slava [35]3 years ago

4 0

Multiply 10 and 1/5. the denominator can be written as x^8/2
=(x^10/5)/(x^8/2)
simplify the exponent
=(x^2)/(x^4)
numerator subtract denominator
=1/x^2
remove fraction by making the exponent negative
= x^-2
final answer is x to the power of negative 2

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For a question like this, it is easiest to check the offered answers in the given equations.

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Comment on the process

Answering multiple-choice questions is as much about test-taking skill as it is about math skill. First, you eliminate choices that don't answer the question.

Then you see if there is a way to identify the "correct" answer from the remaining "reasonable" answers. Often, that requires you only solve part of the problem, or you check for consistency between parts of the answer. (Here, if (a, b) is an answer, then (b, a) will be the other answer. Again, only choice D has that characteristic.)

You can see if the answer choices satisfy the details of the problem requirements.

Finally, as a last resort, you actually work the problem to determine your own answer to the question. (Here, you can substitute for y: x^2 +(-13-x)^2 = 109, then solve the quadratic, 2x^2 +26x +60 = 0 to find x=-3 or -10.) When you're done with this, you also need to check your answer against the above criteria.

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