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Simplify. Express your answer as the given base raised to a single exponent.\newline(56)9(5^6)^9

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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(56)9(5^6)^9
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineBase: 55\newlineExponents: 6,96, 9
  2. Apply power of a power rule: Apply the power of a power rule: (am)n=am∗n(a^m)^n = a^{m*n}.\newlineCalculation: (56)9=56∗9=554(5^6)^9 = 5^{6*9} = 5^{54}
  3. Confirm final expression: Confirm the final expression.\newlineFinal expression: 5545^{54}

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