Math Problem Statement

4^2+2x10

Solution

The expression is:

42+2×104^2 + 2 \times 10

We follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Calculate the exponent:
    42=164^2 = 16

  2. Perform the multiplication:
    2×10=202 \times 10 = 20

  3. Add the results:
    16+20=3616 + 20 = 36

So, the value of the expression is 3636.

Would you like more details on the steps? Here are 5 related questions:

  1. What is the importance of the order of operations in solving expressions?
  2. How would the result change if parentheses were introduced in the expression?
  3. Can you solve an expression like 33+5×43^3 + 5 \times 4?
  4. What happens if you switch addition and multiplication in an expression?
  5. How does solving equations with exponents differ from solving linear equations?

Tip: Always handle exponents and multiplication before moving on to addition or subtraction!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Multiplication

Formulas

a^b = a raised to the power of b
Multiplication: a × b

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 5-7