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Exponentiation is a fundamental concept in prealgebra, frequently summarized by the term "power." It involves raising a base number to an exponent, essentially multiplying the base by itself a number of times equal to the exponent. In the exercise, we are dealing with the expression \(3^3\). Here, the base is 3, and the exponent is also 3. This means you multiply the base by itself twice:

• First, 3 multiplied by 3 equals 9.
• Then, multiply 9 by 3 to get 27.

Therefore, \(3^3 = 27\). Understanding how to perform exponentiation is crucial, as it simplifies calculations and allows for more compact expression of large numbers. Always remember that the exponent indicates how many times the base is used as a factor.

Parentheses serve as important tools in mathematics for controlling the order of operations. They override the typical protocol of performing multiplications and divisions before additions and subtractions. In our exercise, we have the expression \((7 + 6)\). The parentheses tell us to address this sum before any other operation, ensuring clarity in the overall expression. Inside the parentheses, you perform the addition:

• 7 plus 6 equals 13.

By solving what's inside the parentheses first, you avoid mistakes and keep the expression organized. Parentheses are crucial for maintaining operation order and clarifying calculations, especially in more complex mathematical contexts.

Simplification steps exist to guide you through mathematical expressions systematically, ensuring precision and clarity. There are basic rules known as the order of operations. The acronym PEMDAS helps remember them: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Applying these rules properly avoids errors in calculations. For the expression \(3^3-(7+6)\), the steps are as follows:

• First, calculate \(3^3\), resulting in 27, as addressed earlier.
• Next, solve \((7 + 6)\) inside the parentheses, which equals 13.
• Finally, perform the subtraction \(27 - 13\), which yields 14.

By following these simplification steps methodically, you ensure accuracy and avoid unnecessary complications in your calculations. Ensuring each component is addressed in the correct order is fundamental for correct problem-solving.