Dividing Exponential Expressions with Exponents in the Denominator

The video tutorial explains how to divide exponential expressions when the exponent in the denominator is greater than or equal to the exponent in the numerator. It covers the rules for subtracting exponents when bases are the same, explores the concept of zero exponents, and introduces negative exponents. The tutorial emphasizes understanding the mathematics behind these rules and provides practice examples to reinforce learning.

What is the result when dividing two exponential expressions with the same base and equal exponents?

• The base raised to the power of zero

• Zero

• Negative one

• The base raised to the power of one

When dividing 4 to the fifth by 4 to the fifth, what is the resulting power of 4?

• 4 to the power of negative one

• 4 to the power of one

• 4 to the power of zero

• 4 to the power of five

What does 2 to the negative second power equal?

• Negative four

• One fourth

• Zero

• Two

How do you express 2 to the negative second power using positive exponents?

• 2 to the power of two

• 1 over 2 to the power of two

• 2 to the power of negative two

• 1 over 2 to the power of negative two

In the example of 5 to the third divided by 5 to the ninth, how many fives are left in the denominator?

• Three

• Six

• Zero

• Nine

When simplifying X to the fourth over X to the seventh, how many X's remain in the denominator?

• Two

• One

• Four

• Three

What is the result of dividing 3 to the fifth by 3 to the fifth?

• 3 to the power of zero

• 3 to the power of five

• 0

• 1