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In the following equation, what is the value of zz?\newline11z=(113)311^z = (11^3)^3\newlinez=z = ____

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Q. In the following equation, what is the value of zz?\newline11z=(113)311^z = (11^3)^3\newlinez=z = ____
  1. Simplify using power rule: Simplify the right side of the equation using the power of a power rule, (am)n=am∗n(a^m)^n = a^{m*n}.\newlineCalculation: (113)3=113∗3=119(11^3)^3 = 11^{3*3} = 11^9
  2. Set equal to left side: Set the simplified equation equal to the left side.\newline11z=11911^z = 11^9
  3. Set exponents equal: Since the bases are the same, set the exponents equal to each other. z=9z = 9

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