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Simplify. Express your answer as the given base raised to a single exponent.\newline(32)5(3^2)^5

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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(32)5(3^2)^5
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineIn (32)5(3^2)^5, 33 is the base raised first to the exponent 22 and then to 55.\newlineBase: 33\newlineExponents: 22, 55
  2. Apply power of a power: Apply the power of a power property to simplify the expression.\newline(32)5=3(2∗5)=310(3^2)^5 = 3^{(2*5)} = 3^{10}
  3. Calculate 3103^{10}: Calculate 3103^{10} to ensure the expression is simplified correctly.\newline310=590493^{10} = 59049

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