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Simplify. Express your answer as the given base raised to a single exponent.\newline(109)6(10^9)^6

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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(109)6(10^9)^6
  1. Identify Base and Exponents: Identify the base and the exponents in the expression.\newlineBase: 1010\newlineExponents: 9,69, 6
  2. Apply Power of Power Property: Apply the power of a power property: (am)n=a(m∗n)(a^m)^n = a^{(m*n)}.\newline(109)6=10(9∗6)(10^9)^6 = 10^{(9*6)}
  3. Perform Exponent Multiplication: Perform the multiplication of the exponents. 9×6=549 \times 6 = 54
  4. Write Final Expression: Write the final expression using the calculated exponent. 105410^{54}

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