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Which expression is equivalent to 117×11311^7 \times 11^3?\newlineChoices:\newline(A) 11121\frac{1}{11^{21}}\newline(B) 112111^{21}\newline(C) 111011^{10}\newline(D) 11110\frac{1}{11^{10}}

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Q. Which expression is equivalent to 117×11311^7 \times 11^3?\newlineChoices:\newline(A) 11121\frac{1}{11^{21}}\newline(B) 112111^{21}\newline(C) 111011^{10}\newline(D) 11110\frac{1}{11^{10}}
  1. Understand Operation: Understand the operation to perform with the exponents.\newlineWhen we multiply powers with the same base, we add the exponents.\newlineam×an=a(m+n)a^m \times a^n = a^{(m+n)}
  2. Add Exponents: Add the exponents of 11711^7 and 11311^3.\newline117×11311^7 \times 11^3\newline=117+3= 11^{7+3}\newline=1110= 11^{10}
  3. Match Result: Match the result with the given choices.\newlineThe expression 111011^{10} corresponds to choice (C) 111011^{10}.

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