Calculate 3² - 3³: Evaluating the Difference Between Powers

Question

What is the answer to the following?

32−33 3^2-3^3

Video Solution

Solution Steps

00:04 Let's solve this math problem together.
00:08 First, calculate each power separately, then subtract.
00:12 Remember, a power means multiplying a number by itself, based on the exponent.
00:18 Break the powers into multiplication steps and solve each step carefully.
00:23 Tackle one multiplication at a time. Keep going step by step!
00:29 Now, plug these solutions back into the problem and solve.
00:33 Great job! That's the solution. Keep practicing!

Step-by-Step Solution

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

So first calculate the values of the terms in the power and then subtract between the results:

32−33=9−27=−18 3^2-3^3 =9-27=-18 Therefore, the correct answer is option A.

Answer

−18 -18

More Questions

Related Subjects

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

Question Types

Powers: Solving the equation Powers and Roots: Solving the equation