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Evaluate the left hand side to find the value of a in the equation in simplest form. x^(2)x^((2)/(3))=x^(a) Answer:

Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex2x23=xa x^{2} x^{\frac{2}{3}}=x^{a} \newlineAnswer:

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Q. Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex2x23=xa x^{2} x^{\frac{2}{3}}=x^{a} \newlineAnswer:
  1. Use Exponent Property: To find the value of aa, we need to use the property of exponents that states when you multiply powers with the same base, you add the exponents.\newlineCalculation: x2×x23=x2+23x^{2} \times x^{\frac{2}{3}} = x^{2 + \frac{2}{3}}
  2. Add Exponents: Now we add the exponents 22 and 23\frac{2}{3}.\newlineCalculation: 2+23=63+23=832 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}
  3. Find Value of a: We have found the value of aa by adding the exponents.\newlineCalculation: a=83a = \frac{8}{3}

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