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3x3^x + 3x3^x + 3x3^x = ?

Answer: B) 3x+13^{x+1}

  1. A) 3x3^x
  2. B) 3x+13^{x+1}
  3. C) 9x9^x
  4. D) 333^3

Explanation

B) 3x+13^{x+1}. Adding the same term three times is the same as multiplying it by 3, so the sum is 3 ×\times 3x3^x. Since 3 = 313^1, the rule ama^m ×\times ana^n = am+na^{m+n} turns this into 3x+13^{x+1}. It is not 9x9^x, which equals 32x3^{2x}.

Asked in: MPEMR 2024

Topic: Algebra