Tutors Answer Your Questions about Exponents-negative-and-fractional (FREE)
Question 894043: Not sure if this would be hard to understand what I mean on this problem. Also not sure if this is the right section for it to be in.
(Fraction) 5/x^2 (over) (Fraction) x+5/x
Simplify.
This is a screenshot of the actual problem: http://gyazo.com/ea664be23d615d1477b050082155e615
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Click here to see answer by josgarithmetic(39623) |
Question 894424: Without using a calculator how do you solve 5^(123/1000)?
I know this problem can be evaluated as the 1000th root of 5 raised to the 123rd power, so I figured one could solve it using natural logarithms. [I have already found the two formulas for solving an unknown logarithm by hand.] However, when I search for ways to convert (a number (x) raised to a fractional exponent) to a natural log, I can't find any formula that doesn't involve the Euler number (e). All the formulas that have (e) in them also have a fractional exponent to deal with; therefore I'm right back where I started.
So to reiterate, by hand and with NO calculator, how do I convert 5 to the power of (123/1000)to another form that I can solve by using natural logarithms or some other formula or equation?
Thanks.
Click here to see answer by josgarithmetic(39623) |
Question 900987: 4 divided by (x squared - 9) + 5 divided by (x-3) = ?
We have to simplify algebraic fractions like this, I tried to simplify it myself and I got an answer of 9 but I have a feeling I am going wrong somewhere as I did:
4(x-3) divided by (x+3)(x-3) + 5(x+3)(x-3) divided by (x-3) in which I cancelled out the brackets which were the same and I ended up with 4+5(x+3) divided by (x+3) and then I cancelled out the (x+3) and ended up with 4+5 which is 9
Am I right? Or am I doing something wrong?
Thanks :)
Click here to see answer by ewatrrr(24785)  |
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