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Select the expressions that are equivalent to 7(7k)7(7k).\newlineMulti-select Choices:\newline(A) k+14k + 14\newline(B) 7(5k+2k)7(5k + 2k)\newline(C) 7(4k+3k)7(4k + 3k)\newline(D) (7k)7(7k)7

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Full solution

Q. Select the expressions that are equivalent to 7(7k)7(7k).\newlineMulti-select Choices:\newline(A) k+14k + 14\newline(B) 7(5k+2k)7(5k + 2k)\newline(C) 7(4k+3k)7(4k + 3k)\newline(D) (7k)7(7k)7
  1. Simplify expression: Simplify the given expression 7(7k)7(7k).\newlineCalculation: 7×7k=49k7 \times 7k = 49k.
  2. Compare with choice (A): Compare with choice (A) k+14k + 14.\newlineCalculation: k+14k + 14 is not the same as 49k49k.
  3. Compare with choice (B): Compare with choice (B) 7(5k+2k)7(5k + 2k).\newlineCalculation: 7(5k+2k)=7×7k=49k7(5k + 2k) = 7 \times 7k = 49k.
  4. Compare with choice (C): Compare with choice (C) 7(4k+3k)7(4k + 3k). Calculation: 7(4k+3k)=7×7k=49k7(4k + 3k) = 7 \times 7k = 49k.
  5. Compare with choice (D): Compare with choice (D) 7k)^7\. Calculation: \$7k)^7\ is not the same as \$49k)\; it's \$7k)\ raised to the \$7th power.

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