Evaluate the Expression: 4 + 2 + 5² Step by Step

4+2+52= 4+2+5^2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following problem
00:03 Break down the exponent
00:07 Always solve multiplication and division before addition and subtraction
00:10 Continue to solve according to the correct order of operations, from left to right
00:14 This is the solution

Step-by-step written solution

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1

Understand the problem

4+2+52= 4+2+5^2=

2

Step-by-step solution

To solve the expression 4+2+52 4 + 2 + 5^2 , we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

  • Step 1: Calculate Exponents
    In the expression we have an exponent: 525^2. This means 5 is raised to the power of 2. We calculate this first:
    52=255^2 = 25.

  • Step 2: Perform Addition
    Now, substitute the calculated value back into the expression:
    4+2+254 + 2 + 25.
    Perform the additions from left to right:
    4+2=64 + 2 = 6
    Finally add the result to 25:
    6+25=316 + 25 = 31.

Therefore, the final answer is 3131.

3

Final Answer

31

Practice Quiz

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What is the result of the following equation?

\( 36-4\div2 \)

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