Solve 3² + 3³: Adding Sequential Powers of Three

Sovle:

32+33 3^2+3^3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem together.
00:06 First, calculate each power separately, then combine them.
00:11 Remember, a power is a number, multiplied by itself as many times as the exponent says.
00:17 Break down each power into simple multiplications. Let's solve them step by step.
00:24 Solve each multiplication one at a time. Keep going until they are all solved.
00:30 Now, substitute these solutions back into the problem and calculate the final answer.
00:36 And there you have it! That's how we find the solution.

Step-by-step written solution

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1

Understand the problem

Sovle:

32+33 3^2+3^3

2

Step-by-step solution

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

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

32+33=9+27=36 3^2+3^3 =9+27=36 Therefore, the correct answer is option B.

3

Final Answer

36

Practice Quiz

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\( 11^2= \)

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