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Which expression is equivalent to (114)7(11^4)^7?\newlineChoices:\newline(A) 11111\frac{1}{11^{11}}\newline(B) 11128\frac{1}{11^{28}}\newline(C) 111111^{11}\newline(D) 112811^{28}

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Full solution

Q. Which expression is equivalent to (114)7(11^4)^7?\newlineChoices:\newline(A) 11111\frac{1}{11^{11}}\newline(B) 11128\frac{1}{11^{28}}\newline(C) 111111^{11}\newline(D) 112811^{28}
  1. Apply Power Rule: Simplify the expression using the power of a power rule.\newline(114)7=11(4∗7)(11^4)^7 = 11^{(4*7)}\newline=1128= 11^{28}
  2. Compare with Choices: Compare the simplified expression with the given choices.\newline112811^{28} matches with choice (D).

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