Simplifying Expressions with Exponents

The video tutorial guides viewers through simplifying a mathematical expression involving exponents. It begins by introducing the expression and explaining the need to simplify it. The instructor demonstrates how to handle exponents, including adding missing ones, and how to combine like terms. The process involves subtracting exponents when dividing like bases and addressing negative exponents by changing their position in the fraction. The tutorial concludes with the final simplified expression and encourages viewers to engage with the content by liking, subscribing, and commenting.

What is the initial expression that needs to be simplified?

• x^7 * y * z^6 / (x * y^2 * z^2)

• x^6 * y^2 * z^7 / (x * y * z^2)

• x^5 * y^2 * z^5 / (x^2 * y * z)

• x^6 * y * z^7 / (x * y^2 * z^2)

What should you do if a variable in the expression does not have an exponent?

• Assign it an exponent of zero

• Ignore it

• Assign it an exponent of one

• Multiply it by two

What is the first step in simplifying the given expression?

• Add exponents

• Multiply exponents

• Divide exponents

• Assign exponents to variables without them

When grouping variables, which of the following is correct?

• Group variables with the same exponent

• Group variables with different bases

• Group variables with the same base

• Group variables with different exponents

How do you simplify x^6 divided by x?

• x^6

• x

• x^5

• x^7

What is the result of simplifying y divided by y^2?

• y^2

• y

• 1/y

• y^0

What is the simplified form of z^7 divided by z^2?

• z^4

• z^6

• z^9

• z^5

What operation is used to simplify exponents when dividing?

• Subtraction

• Multiplication

• Division

• Addition

What is the result of subtracting the exponents of x in the expression?

• x^6

• x^5

• x^0

• x^1

What is the result of subtracting the exponents of z in the expression?

• z^7

• z^5

• z^2

• z^0