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What is x: x^5/2 = 1/32
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We'll re-write as a power of two the right side:1/32 = 1/`2^5` = `2^-5`
Now, we'll re-write the equation:` x^(5/2) = 2^-5 `
We'll raise both sides to the power (2/5), to eliminate the rational power of x from the left side:
`x^[(5/2)*(2/5)]= (2^-5)^(2/5)`x = `2^-2 `
We'll use the negative power property:
x = 1/`2^2`x = 1/4
The solution of the given equation is x = 1/4.
Posted by giorgiana1976 on August 25, 2011 at 12:51 AM (Answer #2)
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