Solve 3² + 3³: Adding Sequential Powers of Three

Question

Sovle:

32+33 3^2+3^3

Video Solution

Solution Steps

00:00 Solve
00:03 Calculate each power separately and then combine
00:06 A power is the number multiplied by itself according to the exponent
00:09 Break down each power into multiplications and solve
00:14 Solve one multiplication at a time and then continue
00:20 Substitute the solutions in our question and calculate
00:25 And this is the solution to the question

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

Question Types

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