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Simplify. Express your answer as the given base raised to a single exponent.\newline(38)3(3^8)^3

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Power of a power: integer basesright chevron icon

Full solution

Q. Simplify. Express your answer as the given base raised to a single exponent.\newline(38)3(3^8)^3
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineBase: 33\newlineExponents: 8,38, 3
  2. Apply power of a power rule: Apply the power of a power rule: (am)n=a(m∗n)(a^m)^n = a^{(m*n)}.\newline(38)3=3(8∗3)(3^8)^3 = 3^{(8*3)}
  3. Perform exponent multiplication: Perform the multiplication of the exponents. 8×3=248 \times 3 = 24
  4. Write final expression: Write the final expression using the calculated exponent. 3243^{24}

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