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### Course: 6th grade>Unit 6

Lesson 4: Substitution & evaluating expressions

# Evaluating expressions like 5x² & ⅓(6)ˣ

Evaluating expressions with exponents involves substituting a given value for the variable and following the order of operations. Calculate the exponent first, then perform any multiplication or division. Mastering this skill is essential for solving more complex algebraic problems and understanding mathematical relationships. Created by Sal Khan.

## Want to join the conversation?

• How does 1/3 x 36 = 12?
• 1 * 36 = 36
3 * 1 = 3
Since 36 = 36/1, 1*36 / 3*1 is the same thing as saying 36/3, or 12.

Or, think of it this way: 1/3 * 36 is the same as 36 / 3, which is also 12.
• How it equals 12 is because they did 36 divided by 3 = 12
• They just simplified the answer first it was 36/3 and they both can be divisible so the answer came as 12

Hope this helps :)
(1 vote)
• WHAT IS 6^2 + x - x^26
2
+x−x
2
6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.
• It appears you tried to copy and paste a question, but the syntax is so confusing, it is difficult to tell what you are really asking.
• I need help I am confused with fractions and exponents.
What do with other fractions.
• ok this is good
(1 vote)
• Or Is It?
• How do you simplify questions that long
(1 vote)
• The expressions are actually too short to really simplify, since they're only one term.

All you need to do is plug in numbers to your variables and solve.
• At the second question with thirds how do you do like thirds,half's and quarters. Do you divide your number by like thirds if it was thirds? For example 1/2 5 do you divide by half’s? I don’t think sal said anything about that.
(1 vote)
• no you divide by 2 when you multiply by 1/2