Solution 1.3:6a

From Förberedande kurs i matematik 1

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Current revision (14:44, 22 September 2008) (edit) (undo)
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A power expression that has a positive exponent is larger, the larger the base is. Thus
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A power expression that has a positive exponent is larger, the larger the base is. Thus <math>256^{1/3} > 200^{1/3}</math> because <math>256 > 200</math> and the exponent 1/3 is positive.
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<math>256^{{1}/{3}\;}>200^{{1}/{3}\;}</math>
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because
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<math>256>200</math>
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and the exponent
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<math>{1}/{3}\;</math>
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is positive.
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Current revision

A power expression that has a positive exponent is larger, the larger the base is. Thus \displaystyle 256^{1/3} > 200^{1/3} because \displaystyle 256 > 200 and the exponent 1/3 is positive.