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

Question

Solve:

$5^2\cdot4+3^3$

Video Solution

Solution Steps

00:00 Solve

00:03 Let's 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 We'll solve one multiplication at a time and then continue

00:24 Let's substitute the solutions in our question and calculate

00:29 Always solve multiplication and division before addition and subtraction

00:32 And this is the solution to the question

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:

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

Answer

127

Related Subjects

Order of Operations: Roots Order of Operations: Exponents

Question Types

Powers and Roots: Solving the equation