Kathye P. | Math Geek, passionate about teachingMath Geek, passionate about teaching

5.05.0(150 lesson ratings)(150)

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Hi, Nicolette.

Rather than giving you the answer, I am going to give you two hints, and see if you can figure it out.

First, 20 is bigger than 4,2, and 8 added together, so there is going to be some multiplication involved.

Second, remember the order of operations: Parentheses, Exponents, Multiplication and Division, then Addition and Subtraction. For example: 12 - 2 x 5 = 2 because you have to do the multiplication before the subtraction.

When powers are allowed, typically, you use the already given numbers in the problem as exponents.

For example valid use of powers would include 4^{2}_8, 4_2^{8}, the power tower
_{4}2^{8} and, if parentheses are allowed, (4^{2})^{8} where _ would be filled in with one of +,-,x,÷.

In this case, none of these three cases work, especially the power tower:

## Comments

You nailed it Kathye!