Math Problem Statement

(5² - 3²)+ 10÷5

Solution

Let's solve the expression step by step:

The expression is:

(5232)+105(5^2 - 3^2) + \frac{10}{5}

Step 1: Calculate 525^2 and 323^2

52=25and32=95^2 = 25 \quad \text{and} \quad 3^2 = 9

Step 2: Substitute the values back into the expression

(259)+105(25 - 9) + \frac{10}{5}

Step 3: Simplify the subtraction and division

259=16and105=225 - 9 = 16 \quad \text{and} \quad \frac{10}{5} = 2

So, the expression becomes:

16+216 + 2

Step 4: Final addition

16+2=1816 + 2 = 18

Final Answer:

1818

Would you like further details or have any questions on this? Here are some related questions:

  1. What are the properties of exponents?
  2. How do you perform order of operations (PEMDAS)?
  3. Can you simplify expressions with negative exponents?
  4. How does division affect the outcome of an equation?
  5. What are the rules for subtracting exponents?

Tip: Always perform operations inside parentheses first to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations
Basic Arithmetic

Formulas

Exponentiation
Order of Operations (PEMDAS)

Theorems

Properties of Exponents

Suitable Grade Level

Grades 4-6