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If 7a=737^a=\sqrt[3]{7} , what is the value of aa?

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Full solution

Q. If 7a=737^a=\sqrt[3]{7} , what is the value of aa?
  1. Identify and simplify expression: Identify the expression and simplify the cube root. 7a=7137^a = 7^{\frac{1}{3}}
  2. Set exponents equal: Set the exponents equal to each other since the bases are the same. a=13a = \frac{1}{3}

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