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Simplify. Express your answer as the given base raised to a single exponent.\newline(119)4(11^9)^4

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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(119)4(11^9)^4
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineBase: 1111\newlineExponents: 9,49, 4
  2. Apply power of a power property: Apply the power of a power property: (am)n=a(m∗n)(a^m)^n = a^{(m*n)}.\newline(119)4=11(9∗4)(11^9)^4 = 11^{(9*4)}
  3. Perform exponent multiplication: Perform the multiplication of the exponents. 9×4=369 \times 4 = 36
  4. Write final expression: Write the final expression using the calculated exponent. 113611^{36}

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