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Simplify. Express your answer using a single exponent.\newline(a5)3(a^{5})^{3}

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Q. Simplify. Express your answer using a single exponent.\newline(a5)3(a^{5})^{3}
  1. Identify Operation: Identify the operation needed for the exponents when raising a power to a power.\newlineWhen we raise a power to a power, we multiply the exponents. In this case, we have (a5)3(a^5)^3, which means we need to multiply the exponent 55 by 33.
  2. Apply Rule: Apply the exponent rule (am)n=amn(a^m)^n = a^{m*n}. Using the rule, we calculate (a5)3(a^5)^3 as a53a^{5*3}.
  3. Perform Multiplication: Perform the multiplication of the exponents.\newlineNow we multiply the exponents: 5×3=155 \times 3 = 15.
  4. Write Final Answer: Write the final answer using the result from Step 33.\newlineThe final answer is a15a^{15}.

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