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Find the value of seven raised to the ninth power.

  1. 7^9

  2. 7^3

  3. 7^12

  4. 7^6

The correct answer is: 7^9

The value of seven raised to the ninth power is denoted mathematically as \(7^9\). This notation represents the multiplication of the number 7 by itself a total of nine times. Thus, \(7^9\) accurately reflects the expression for seven raised to the ninth power without any calculation or simplification involved. The other options represent different powers of 7, which do not equal \(7^9\). For example, \(7^3\) represents seven multiplied by itself three times, leading to a significantly smaller value. Similarly, \(7^{12}\) and \(7^6\) represent even larger and smaller quantities, respectively. Therefore, among the choices provided, the notation \(7^9\) is the only option that correctly indicates seven raised to the ninth power.