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Which expression is equivalent to 73072\frac{7^{30}}{7^2}?\newlineChoices:\newline(A) 1715\frac{1}{7^{15}}\newline(B) 7157^{15}\newline(C) 7287^{28}\newline(D) 7327^{32}

Full solution

Q. Which expression is equivalent to 73072\frac{7^{30}}{7^2}?\newlineChoices:\newline(A) 1715\frac{1}{7^{15}}\newline(B) 7157^{15}\newline(C) 7287^{28}\newline(D) 7327^{32}
  1. Simplify expression: Step 11: Simplify the expression 730/727^{30}/7^{2} by subtracting the exponents.\newlineCalculation: 730/72=7(302)=7287^{30} / 7^{2} = 7^{(30-2)} = 7^{28}.
  2. Match with choices: Step 22: Match the simplified expression with the given choices.\newlineCalculation: 7287^{28} matches with choice (C).