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Which two expressions are equivalent to each other?\newlineMulti-select Choices:\newline(A) 76×727^6 \times 7^2\newline(B) 178\frac{1}{7^8}\newline(C) 7117^{11}\newline(D) 7127\frac{7^{12}}{7}

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Q. Which two expressions are equivalent to each other?\newlineMulti-select Choices:\newline(A) 76×727^6 \times 7^2\newline(B) 178\frac{1}{7^8}\newline(C) 7117^{11}\newline(D) 7127\frac{7^{12}}{7}
  1. Simplify Expression (A): Step 11: Simplify expression (A) using the properties of exponents.\newlineCalculation: 76×72=76+2=787^6 \times 7^2 = 7^{6+2} = 7^8.
  2. Simplify Expression (D): Step 22: Simplify expression (D) using the properties of exponents.\newlineCalculation: 7127=712−1=711 \frac{7^{12}}{7} = 7^{12-1} = 7^{11}.
  3. Compare Simplified Results: Step 33: Compare the simplified results from Step 11 and Step 22 with other options.\newlineObservation: 787^8 from (A) matches none of the other choices directly; 7117^{11} from (D) matches with (C).

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