Math Problem Statement

(6 + 3)^2 - 6^4 + 5

Solution

Let's solve the expression step by step:

(6+3)264+5(6 + 3)^2 - 6^4 + 5

Step 1: Simplify the parentheses

6+3=96 + 3 = 9 Now the expression becomes: 9264+59^2 - 6^4 + 5

Step 2: Calculate the powers

92=819^2 = 81 64=6×6×6×6=12966^4 = 6 \times 6 \times 6 \times 6 = 1296 Now the expression is: 811296+581 - 1296 + 5

Step 3: Perform the subtraction and addition

811296=121581 - 1296 = -1215 1215+5=1210-1215 + 5 = -1210

Thus, the value of the expression is: 1210\boxed{-1210}

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. Simplify (7+2)253+6(7 + 2)^2 - 5^3 + 6.
  2. Evaluate (5+4)372+9(5 + 4)^3 - 7^2 + 9.
  3. Calculate (4+6)283+10(4 + 6)^2 - 8^3 + 10.
  4. Simplify (3+8)244+2(3 + 8)^2 - 4^4 + 2.
  5. Evaluate (9+1)254+7(9 + 1)^2 - 5^4 + 7.

Tip: Always follow the order of operations: parentheses, exponents, multiplication/division, and then addition/subtraction (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Exponents
Order of Operations (PEMDAS)

Formulas

a^b (Exponentiation)
Order of Operations

Theorems

None (Basic arithmetic rules)

Suitable Grade Level

Grades 6-8