Question 752656: How do I solve an equation where the base is a fraction and the exponent is a negative fraction? Found 2 solutions by stanbon, Theo:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! How do I solve an equation where the base is a fraction and the exponent is a negative fraction?
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Not exactly sure what you mean, but this might be an example:
(27/64)^(-2/3) = ?
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The 3 in the exponent means "take the cube root"
The 2 in the exponent means "square"
The negativ sign in the exponent means "invert"
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Inverting you get:
(64/27)^(2/3)
Taking the cube root you get:
= (4/3)^2
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Squaring you get:
= 16/9
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Cheers,
Stan H.
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