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

Question

Calculate and indicate the answer:

(52)223 (5-2)^2-2^3

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Always solve the 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 into our question and calculate
00:27 This is the solution

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)223=3223=98=1 (5-2)^2-2^3 =3^2-2^3=9-8=1 Therefore, the correct answer is option C.

Answer

1