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Which expression is equivalent to (113)7(11^3)^7?\newlineChoices:\newline(A) 111011^{10}\newline(B) 11110\frac{1}{11^{10}}\newline(C) 112111^{21}\newline(D) 11121\frac{1}{11^{21}}

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Full solution

Q. Which expression is equivalent to (113)7(11^3)^7?\newlineChoices:\newline(A) 111011^{10}\newline(B) 11110\frac{1}{11^{10}}\newline(C) 112111^{21}\newline(D) 11121\frac{1}{11^{21}}
  1. Multiply Exponents: When we have a power raised to another power, we multiply the exponents.\newline(113)7=11(3∗7)(11^3)^7 = 11^{(3*7)}
  2. Calculate Product: Calculate the product of the exponents. 3×7=213 \times 7 = 21
  3. Rewrite Expression: Rewrite the expression with the calculated exponent.\newline(113)7=1121(11^3)^7 = 11^{21}
  4. Compare Choices: Compare the result with the given choices. 112111^{21} corresponds to choice (C)112111^{21}.

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