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Simplify. Express your answer as the given base raised to a single exponent.(26)4

Question

Simplify. Express your answer as the given base raised to a single exponent.

(26)4(26)^4

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Solution

1. Break Down the Problem

To simplify (26)4(26)^4, we want to express this as a base raised to a single exponent.

2. Relevant Concepts

The expression (am)n=amn(a^m)^n = a^{m \cdot n} is a relevant mathematical property for simplifying exponents, where:

  • aa is the base,
  • mm and nn are the exponents.

3. Analysis and Detail

In this case, we simply look at 2626 raised to the power of 44: (26)4=264 (26)^4 = 26^{4} Since it is already in the form of a base raised to a single exponent, no further simplification is needed.

4. Verify and Summarize

There are no calculations necessary for verification in this case as it is already simplified to the form we require.

Final Answer

(26)4=264 (26)^4 = 26^{4}

This problem has been solved

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