Understanding Division with Exponents

The video tutorial explains how to divide using exponents, starting with basic rules and examples. It covers dividing exponents with single and multiple variables, demonstrating the subtraction of exponents when bases are the same. A challenge problem is presented, highlighting the division of coefficients and subtraction of exponents. The tutorial emphasizes understanding through step-by-step examples and visual aids.

What is the result of dividing x^8 by x^3?

• x^11

• x^5

• x^2

• x^6

When dividing exponents with the same base, what operation is performed on the exponents?

• Divide

• Subtract

• Multiply

• Add

If you have x^8 divided by x^3, what is the exponent of x in the result?

• 5

• 11

• 3

• 8

How many x's are left after canceling x^3 from x^8?

• 11

• 8

• 5

• 3

What happens to a variable raised to the zero power?

• It halves

• It doubles

• It becomes zero

• It becomes one

In the expression a^2/a, what is the resulting power of a?

• a^1

• a^2

• a^0

• a^3

What is the result of c/c^2 in terms of exponents?

• c^-1

• c^0

• c^1

• c^2

In the challenge problem, what is the result of dividing 15 by 5?

• 4

• 2

• 1

• 3

What is the exponent of x in the expression x^3/x?

• x^1

• x^2

• x^3

• x^0

In the final expression 3x^2/y, where does the y remain?

• Neither

• Numerator

• Denominator

• Both