Solve 3² + 3³: Adding Sequential Powers of Three

Question

Sovle:

32+33 3^2+3^3

Video Solution

Solution Steps

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 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.

Answer

36

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