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Simplify. Express your answer as the given base raised to a single exponent.\newline(59)8(5^9)^8

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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(59)8(5^9)^8
  1. Identify Base and Exponents: Identify the base and the exponents in the expression.\newlineIn (59)8(5^9)^8, 55 is the base raised to the exponents 99 and 88.\newlineBase: 55\newlineExponents: 99, 88
  2. Apply Power of Power Property: Apply the power of a power property to simplify (59)8(5^9)^8.(59)8=5(9∗8)(5^9)^8 = 5^{(9*8)}=572= 5^{72}
  3. Check Simplified Expression: Check if the expression is simplified to a single exponent.\newlineThe expression 5725^{72} is already in the form of base 55 raised to a single exponent, 7272.

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