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Solution assignment 03 Rules for exponents

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Assignment 3

Simplify:

\displaystyle\frac{\displaystyle\frac{4(0.6)x^{0.4}y^{-0.4}}{y}}{\displaystyle\frac{4(0.4)x^{-0.6}y^{0.6}}{x}}

Solution

Usually one does not like fractions nor in the numerator or the denominator. In this case we have to work out the fractions in both numerator and denominator first and then apply the well-known rules:

\displaystyle\frac{4(0.6)x^{0.4}y^{-1.4}}{4(0.4)x^{-1.6}y^{0.6}}=1.5x^2y^{-2}=1.5\displaystyle\frac{x^2}{y^2}

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