Calculate 3² - 3³: Evaluating the Difference Between Powers

What is the answer to the following?

32−33 3^2-3^3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is the answer to the following?

32−33 3^2-3^3

2

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.

3

Final Answer

−18 -18

Practice Quiz

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\( 11^2= \)

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