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Which expression is equivalent to ?Choices:(A) (B) (C) (D)
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Q. Which expression is equivalent to ?Choices:(A) (B) (C) (D)
- Apply power rule: Apply the power of a power rule.The power of a power rule states that .So, .
- Compare with choices: Compare the result with the given choices.We have found that 11^1)^6 = 11^6\.\(\newlineNow, we look at the choices to find the equivalent expression.(A) \$11^7\) is not correct because \(7\) is not the product of \(1\) and \(6\).\(\newline\)(B) \( rac{1}{11^7}\) is not correct because it represents the reciprocal of \(11^7\), not \(11^6\).\(\newline\)(C) \(11^6\) is correct because it matches our calculation.\(\newline\)(D) \( rac{1}{11^6}\) is not correct because it represents the reciprocal of \(11^6\), not \(11^6\) itself.
