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Evaluate the left hand side to find the value of a in the equation in simplest form. x^(3)x^((5)/(2))=x^(a) Answer:

Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex3x52=xa x^{3} x^{\frac{5}{2}}=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.\newlinex3x52=xa x^{3} x^{\frac{5}{2}}=x^{a} \newlineAnswer:
  1. Calculate aa: To find the value of aa, we need to use the property of exponents that states when multiplying powers with the same base, we add the exponents.\newlineCalculation: a=3+(52)a = 3 + \left(\frac{5}{2}\right)
  2. Add exponents: Now, we add the exponents 33 and 52\frac{5}{2}. Since 33 is the same as 62\frac{6}{2}, we can add the fractions directly.\newlineCalculation: a=(62)+(52)=6+52=112a = \left(\frac{6}{2}\right) + \left(\frac{5}{2}\right) = \frac{6 + 5}{2} = \frac{11}{2}

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