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Evaluate the left hand side to find the value of a in the equation in simplest form. x^((3)/(4))x^(3)=x^(a) Answer:

Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex34x3=xa x^{\frac{3}{4}} x^{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.\newlinex34x3=xa x^{\frac{3}{4}} x^{3}=x^{a} \newlineAnswer:
  1. Multiply Exponents: We are given the equation x34×x3=xax^{\frac{3}{4}} \times x^3 = x^a and we need to find the value of aa. According to the properties of exponents, when we multiply two expressions with the same base, we add their exponents.\newlineCalculation: x34×x3=x34+3x^{\frac{3}{4}} \times x^3 = x^{\frac{3}{4} + 3}
  2. Add Exponents: Now we need to add the exponents. The exponent 33 can be written as 12/412/4 to have a common denominator with 3/43/4.\newlineCalculation: 34+124=154\frac{3}{4} + \frac{12}{4} = \frac{15}{4}
  3. Final Exponent: After adding the exponents, we get the new exponent for xx.\newlineCalculation: x(3/4+12/4)=x15/4x^{(3/4 + 12/4)} = x^{15/4}\newlineSo, a=15/4a = 15/4.

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