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Simplify. Express your answer as the given base raised to a single exponent.\newline(96)6(9^6)^6

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Full solution

Q. Simplify. Express your answer as the given base raised to a single exponent.\newline(96)6(9^6)^6
  1. Identify Base and Exponents: Identify the base and the exponents in the expression.\newlineIn (96)6(9^6)^6, 99 is the base raised to the exponent 66, and then raised again to another exponent 66.\newlineBase: 99\newlineExponents: 6,66, 6
  2. Apply Power of Power Property: Apply the power of a power property to simplify (96)6(9^6)^6.(96)6=9(6∗6)(9^6)^6 = 9^{(6*6)}=936= 9^{36}
  3. Check Calculation: Check the calculation for any errors.\newline66 multiplied by 66 equals 3636, so the exponent calculation is correct.

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