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Simplify. Express your answer as the given base raised to a single exponent.\newline(98)5(9^8)^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(98)5(9^8)^5
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineIn (98)5(9^8)^5, 99 is the base raised to the exponent 88, which is then raised to another exponent 55.\newlineBase: 99\newlineExponents: 88, 55
  2. Apply power of power property: Apply the power of a power property to simplify the expression.\newline(98)5=9(8∗5)(9^8)^5 = 9^{(8*5)}\newline=940= 9^{40}
  3. Check for single exponent: Check if the expression is simplified to a single exponent.\newlineThe expression 9409^{40} is already in the form of a base raised to a single exponent.

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