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solve x^3/2 = 1/8rewrite RHS (right hand side) in index form and equate powers
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It is not clear if x is raised to the power (3/2) or the power of x is just 3.
We'll consider that the power of x is 3/2.
We'll use the standard index form to re-write the power from the right side:
1/8 = 1/`2^(3)` = `2^(-3)`
Now, we'll re-write the equation:
`x^((3/2))` = `2^(-3)`
We'll raise both sides to the power (2/3), to remove the power of x from the left side:
`x^((3/2)*(2/3))` = `2^(-3*(2/3))`
x = `2^(-2)`
x = 1/`2^(2)`
x = 1/4
The requested solution of the equation is x = 1/4.
Posted by giorgiana1976 on August 15, 2011 at 7:28 PM (Answer #1)
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