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Simplify. Express your answer as the given base raised to a single exponent.\newline(122)5(12^2)^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(122)5(12^2)^5
  1. Identify Base and Exponents: Identify the base and the exponents in the expression.\newlineBase: 1212\newlineExponents: 2,52, 5
  2. Apply Power of Power Property: Apply the power of a power property: (am)n=am∗n(a^m)^n = a^{m*n}.\newline(122)5=122∗5(12^2)^5 = 12^{2*5}
  3. Calculate Exponents Product: Calculate the product of the exponents. 2×5=102 \times 5 = 10
  4. Write Expression with Exponent: Write the expression with the calculated exponent. 121012^{10}

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