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Simplify. Express your answer as the given base raised to a single exponent.\newline(69)5(6^9)^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(69)5(6^9)^5
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineIn (69)5(6^9)^5, 66 is the base raised to the exponent 99, which is then raised to another exponent 55.\newlineBase: 66\newlineExponents: 99, 55
  2. Apply power of power property: Apply the power of a power property to simplify the expression.\newline(69)5=6(9∗5)(6^9)^5 = 6^{(9*5)}\newline=645= 6^{45}
  3. Check final expression: Check the final expression for correctness.\newlineThe expression 69)5 hasbeensimplifiedto$6456^9)^5\ has been simplified to \$6^{45}, which is the base 66 raised to the single exponent 4545.

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