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Evaluate the left hand side to find the value of a in the equation in simplest form. x^((1)/(2))x^(6)=x^(a) Answer:

Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex12x6=xa x^{\frac{1}{2}} x^{6}=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.\newlinex12x6=xa x^{\frac{1}{2}} x^{6}=x^{a} \newlineAnswer:
  1. Exponents Addition Property: We are given the equation x1/2×x6=xax^{1/2} \times x^6 = 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: (1/2)+6=6+1/2=6.5(1/2) + 6 = 6 + 1/2 = 6.5 or 13/213/2
  2. Calculation of Exponents Sum: Now that we have added the exponents, we can equate the sum to aa, since the bases are the same and the equation is x1/2×x6=xax^{1/2} \times x^6 = x^a. Calculation: a=6.5a = 6.5 or a=132a = \frac{13}{2}

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