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Which expression is equivalent to 78×747^8 \times 7^4?\newlineChoices:\newline(A) 7127^{12}\newline(B) 1712\frac{1}{7^{12}}\newline(C) 7327^{32}\newline(D) 1732\frac{1}{7^{32}}

Full solution

Q. Which expression is equivalent to 78×747^8 \times 7^4?\newlineChoices:\newline(A) 7127^{12}\newline(B) 1712\frac{1}{7^{12}}\newline(C) 7327^{32}\newline(D) 1732\frac{1}{7^{32}}
  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 77. 78×74=78+4=7127^8 \times 7^4 = 7^{8+4} = 7^{12}
  3. Match Result: Match the result with the given choices.\newlineThe expression 7127^{12} corresponds to choice (A) 7127^{12}.

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