(6+23)x(32-25)+7 To The Power Of 2

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (6 + 23) x (32 - 25) + 7²

This article will guide you through the step-by-step solution of the equation (6 + 23) x (32 - 25) + 7².

Understanding the Order of Operations (PEMDAS/BODMAS)

Before diving into the calculations, we need to remember the order of operations. It's crucial to perform operations in the correct sequence to arrive at the correct answer. Here's a common acronym to help us remember:

PEMDAS:

• Parentheses
• Exponents
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

BODMAS:

• Brackets
• Orders
• Division and Multiplication (from left to right)
• Addition and Subtraction (from left to right)

Solving the Equation:

1. Parentheses/Brackets: We start by solving the expressions inside the parentheses:

   • (6 + 23) = 29
   • (32 - 25) = 7

2. Exponents/Orders: Next, we calculate 7 raised to the power of 2:

   • 7² = 7 x 7 = 49

3. Multiplication: Now, we multiply the results we obtained:

   • 29 x 7 = 203

4. Addition: Finally, we add the last result to the result of the exponent calculation:

   • 203 + 49 = 252

Final Answer

Therefore, the solution to the equation (6 + 23) x (32 - 25) + 7² is 252.