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Which expression is equivalent to 96×949^6 \times 9^4?\newlineChoices:\newline(A) 1910\frac{1}{9^{10}}\newline(B) 9109^{10}\newline(C) 9249^{24}\newline(D) 1924\frac{1}{9^{24}}

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Full solution

Q. Which expression is equivalent to 96×949^6 \times 9^4?\newlineChoices:\newline(A) 1910\frac{1}{9^{10}}\newline(B) 9109^{10}\newline(C) 9249^{24}\newline(D) 1924\frac{1}{9^{24}}
  1. Identify Operation: Identify 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 the powers of 99.96×94=9(6+4)=9109^6 \times 9^4 = 9^{(6+4)} = 9^{10}
  3. Match Result: Match the result with the given choices.\newlineThe expression 9109^{10} corresponds to choice (B).

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