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Which expression is equivalent to (31)9(3^1)^9?\newlineChoices:\newline(A) 1310\frac{1}{3^{10}}\newline(B) 139\frac{1}{3^9}\newline(C) 393^9\newline(D) 3103^{10}

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Identify equivalent expressions involving exponents Iright chevron icon

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Q. Which expression is equivalent to (31)9(3^1)^9?\newlineChoices:\newline(A) 1310\frac{1}{3^{10}}\newline(B) 139\frac{1}{3^9}\newline(C) 393^9\newline(D) 3103^{10}
  1. Simplify base and exponent: Step 11: Simplify the base and exponent.\newline(31)9(3^1)^9 simplifies to 393^9, because raising a power to another power means you multiply the exponents.\newlineCalculation: (31)9=3(1∗9)=39(3^1)^9 = 3^{(1*9)} = 3^9
  2. Match with choices: Step 22: Match the simplified expression to the given choices. 393^9 matches with choice (C) 393^9.

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