Solve the Expression: 5² × 4 + 3³ Using Order of Operations

Solve:

52⋅4+33 5^2\cdot4+3^3

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Step-by-step video solution

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00:00 Solve the following problem
00:03 Calculate each power separately and then solve
00:09 A power is essentially the number multiplied by itself according to the exponent
00:18 Let's break down each power into multiplications and solve
00:21 Solve one multiplication at a time and then continue
00:24 Substitute the solutions into our question and calculate
00:29 Always solve multiplication and division before addition and subtraction
00:32 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve:

52⋅4+33 5^2\cdot4+3^3

2

Step-by-step solution

Remember that according to the order of arithmetic operations, exponents precede multiplication and division, which precede addition and subtraction (and parentheses always precede everything).

So first calculate the values of the terms with exponents and then subtract the results:

52⋅4+33=25⋅4+27=100+27=127 5^2\cdot4+3^3 =25\cdot4+27=100+27=127 Therefore, the correct answer is option B.

3

Final Answer

127

Practice Quiz

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\( 3 \times 2 + \sqrt{81} = \)

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