Solve (5-2)² - 2³: Order of Operations with Squares and Cubes

Question

Calculate and indicate the answer:

(5−2)2−23 (5-2)^2-2^3

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:10 An exponent is actually the number multiplied by itself as many times as the power
00:12 Break down each exponent into multiplications and solve
00:21 Substitute the solutions in our question and calculate
00:27 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)2−23=32−23=9−8=1 (5-2)^2-2^3 =3^2-2^3=9-8=1 Therefore, the correct answer is option C.

Answer

1

More Questions

Related Subjects

The Order of Operations Order of Operations: Roots Order of Operations: Exponents Order or Hierarchy of Operations with Fractions

Question Types

Powers and Roots: Using parentheses