Solve 5² - 4² + 2²: Perfect Square Operations Practice

Question

Solve the following exercise and circle the correct answer:

52−42+22= 5^2-4^2+2^2=

Video Solution

Solution Steps

00:00 Solve
00:05 Let's break down the exponents
00:27 Always solve multiplication and division before addition and subtraction
00:47 Continue solving from left to right, one operation at a time
00:54 And this is the solution to the question

Step-by-Step Solution

To solve the expression 52−42+22 5^2 - 4^2 + 2^2 , we'll need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here, we only have exponents and basic arithmetic.


  • First, calculate the powers:
    52=25 5^2 = 25 ,
    42=16 4^2 = 16 ,
    22=4 2^2 = 4 .

  • Now substitute the calculated values back into the expression:
    25−16+4 25 - 16 + 4 .

  • Perform the subtraction and addition from left to right:
    25−16=9 25 - 16 = 9 .

  • Then add 4 to 9:
    9+4=13 9 + 4 = 13 .

The final answer is 13 13 .

Answer

13

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Related Subjects

Powers Exponents and Exponent rules The Order of Operations Order of Operations: Roots Basis of a power Order of Operations: Exponents The exponent of a power Order or Hierarchy of Operations with Fractions Exponents and Roots - Basic

Question Types

Powers and Roots: Solving an exercise Powers and Roots: Solving the problem Powers: Solving the problem