Do you know how to evaluate a variable expression when it includes powers? Take a look at this problem.
Evaluating dilemmas like this one is just what this Concept is all about. Pay attention and you will be able to work through this problem at the end of the Concept.
Did you know that you can apply the order of operations to expressions that have powers in them?
Let's look at how to do this.
To do this, we are going to need to refer back to the order of operations.
Order of Operations
P parentheses or grouping symbols
MD multiplication and division in order from left to right
AS addition and subtraction in order from left to right
Now look at the E. That E refers to exponents and powers and evaluating exponents in the order of operations. You can see that you evaluate the powers right after the grouping symbols.
It is a bit like working on a puzzle. Here is an expression that needs evaluating.
It does look complicated, but if it helps, think of this as a series of steps. The order of operations is your guide. If you follow the order of operations then working through a problem such as this one becomes much easier.
The answer is 126.
The answer is 117.
When you have variable and numerical expressions with powers in them, you can use the order of operations to evaluate the expressions. Remember not to get stuck if the problem seems complicated. Stick to the order of operations and you will be able to evaluate the expression.
Now let's go back to the dilemma from the beginning of the Concept. Evaluate this expression.
Now we can evaluate the powers. Here is our answer so far.
This is our final answer.
a group of numbers and operations used to represent a quantity without an equals sign.
a group of numbers, operations and variables used to represent a quantity without an equals sign.
the value of a base and an exponent.
the regular sized number that the exponent works upon.
the little number that tells you how many times to multiply the base by itself.
Here is one for you to try on your own.
Step 2: Perform the calculations inside the parentheses.
Step 3: Perform the calculations with exponents.
Step 4: Multiply
Step 5: Add
The answer is -1,464.
Khan Academy Introduction to the Order of Operations
Directions: Evaluate each expression. Remember to follow the order of operations.
Directions: Evaluate each expression by substituting the given value into each expression. Remember to follow the order of operations.