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(x^((4)/(3)))/(x^((2)/(3)))

x43x23 \frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}

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Full solution

Q. x43x23 \frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}
  1. Identify operation: Step 11: Identify the operation between the terms with exponents.\newlineWe have (x43)(x^{\frac{4}{3}}) divided by (x23)(x^{\frac{2}{3}}).\newlineUse the property of exponents that states aman=am−n\frac{a^m}{a^n} = a^{m-n}.
  2. Subtract exponents: Step 22: Subtract the exponents.\newlineSubtract the exponents of xx: (43)−(23)=23(\frac{4}{3}) - (\frac{2}{3}) = \frac{2}{3}.\newlineSo, (x43)/(x23)=x23(x^{\frac{4}{3}})/(x^{\frac{2}{3}}) = x^{\frac{2}{3}}.

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