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Master Order of Operations with Exponents: PEMDAS Guide

8.EE.A.1

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Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

8.EE.A.2

Squares and square roots

Square Root of a Perfect Square

Square and square roots

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

Converting radicals to entire radicals

8.EE.A.3

Scientific notation

8.EE.B.5

Parallel and perpendicular lines in linear functions

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Identifying proportional relationships

8.EE.B.6

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

8.EE.C.7

Introduction to linear equations

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

Two-step Linear Equations RHS

Solving two-step linear equations using distributive property: a(x + b) = c

Solve Linear Equations Using Distributive Property – Word Problem

Solving literal equations

8.EE.C.8

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

8.F.A.1

Relationship between two variables

Identifying functions

8.F.A.2

Function notation

8.F.B.4

Applications of linear relations

8.F.B.5

Graphing linear functions using table of values

8.G.A.1

Line symmetry

Tessellations using translations and reflections

tessellations using translations and reflections

8.G.A.2

Rotational symmetry and transformations

8.G.A.3

Enlargements and reductions with scale factors

Tessellations using rotations

8.G.A.4

Similar polygons

8.G.A.5

Similar triangles

8.G.B.6

Pythagorean theorem

Pythagorean Theorem

8.G.B.7

Using the pythagorean relationship

8.G.B.8

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Applications of pythagorean theorem

8.G.C.9

Volume of cylinders

Word problems relating volume of prisms and cylinders

Surface area and volume of cones

Surface area and volume of spheres

8.NS.A.1

Understanding the number systems

Rational vs. Irrational numbers

8.NS.A.2

Determine square roots of rational numbers

Square roots of rational numbers

Estimating square roots

Converting repeating decimals to fractions

8.SP.A.1

Reading linear relation graphs

Box-and-whisker plots and scatter plots

8.SP.A.2

Solving linear equations by graphing

8th Grade Math

math

Intro

Ex. 1:

Ex. 2:

Ex. 3:

- Hi. Welcome to this question here. We're trying to calculate this whole thing. Seems a lot to do, right? So remember the order of operation says BEDMAS. Okay? So as you go through the question... Oh, it just disappeared on me. Make sure you check. Do you have the bracket? Do you have the exponent? Do you have division and stuff like that? So I just want to look across. I see there's a bracket, so let's tackle the bracket first. So I'm going to copy down the question. 30... Keep everything the same. Now, inside the bracket there's a couple of things that you need to figure out. I got a 6 to the power of 3 minus 2 to the power of 3. Now, don't be tempted to add exponents or subtract exponents. You have to double check. Well, first of all, the base is different between these two guys and it's subtracting, so you can't really do any shortcut actually. So use your calculator. Figure out what's 6 to the power of 3? 6 to the power of 3 is 216, so let's put there 216. So this is my first step. I'm going to change a little bit of color. And subtract 2 to the power of 3. 2 to the power of 3 is 8, so there's your 8 right there. So after my first step, I got myself this bracket right here. 216, subtract 8, I got 208 right there. Okay? 
Now I'm just going to copy down all the work that I have from the beginning. Okay? 
Then I go to my second step. So after I've done the bracket... So bracket is checked. I did everything with exponent yet? No. I haven't done this part yet, so I'm going to do it right now. I got 30 in the front. Subtract 5 to the power of 2, which is 25. Now, you have to bring down the sign. Okay? The sign in front of the 5 does not belong to the 5 yet because there's an exponent before that. So 5 has to be raised to the power of 2, which is 25. And you just have to bring down the symbol in front of that, which is still negative. Okay? So this 5 to the power of 2 here doesn't change into a positive 25 here. So just bring down the sign. See? The way I do it is I bring down the signs and there's your 208 still. Okay? There's my 208. So the very last step. Once everything is done, there's no more multiplying, no more division, everything is done, it's just addition and subtraction. Now, as you can see, there's a minus and a plus. So who comes first? 
The rule is start from left to right. Okay? So you just use your calculator and go 30 minus 25 plus the 208. You get yourself 213 as your final answer. Okay? 
And that's it for this question. Thanks for watching.

When you are solving questions with exponents, you must keep in mind that order of operation (BEDMAS/PEDMAS) still applies. In this lesson, we will get you familiar with how BEDMAS/PEDMAS works with exponents.  

What is the order of operations with exponents?

Order of operations (PEMDAS)