Simplifying Expressions with Exponents

The video tutorial covers the division law of exponents, explaining how to simplify expressions by subtracting exponents when dividing like bases. It provides multiple examples, including handling numerical coefficients and multiple variables, to demonstrate the application of these concepts. The tutorial concludes with a brief channel promotion.

What is the main topic introduced in the video?

• Division of exponents

• Subtraction of exponents

• Multiplication of exponents

• Addition of exponents

According to the division law for exponents, what is x^m / x^n equal to?

• x^(m*n)

• x^(n-m)

• x^(m+n)

• x^(m-n)

What is the simplified form of x^m / x^n when m = n?

• x^0

• x^1

• x^m

• x^n

What happens to the exponents when dividing like bases?

• They are added

• They are multiplied

• They are subtracted

• They remain unchanged

What is the result of dividing any number by itself?

• The number itself

• Undefined

• 0

• 1

What is the simplified form of x^6 / x^2?

• x^8

• x^3

• x^2

• x^4

In the example 8y^4 / 2y^3, what is the first step in simplification?

• Multiply the coefficients

• Add the exponents

• Divide the coefficients

• Subtract the exponents

What is the simplified form of 8y^4 / 2y^3?

• 4y^3

• 4y^2

• 4y

• 4y^4

In the example 12x^3 / 8x^2y^7, what is the GCF of the coefficients?

• 6

• 4

• 3

• 2

What is the simplified form of 12x^3 / 8x^2y^7?

• 3x^2/y^6

• 3x/y^6

• 3x^2/y^7

• 3x/y^7