Exploring Zero and Negative Exponents

The video tutorial introduces the rules of zero and negative exponents, using patterns to explain how these exponents work. It demonstrates that any nonzero number raised to the zero power equals one and that negative exponents represent division. The tutorial provides examples to illustrate these concepts and applies them to real-world scenarios, such as calculating bacterial growth over time.

What is the value of 2 to the power of 4?

• 8

• 2

• 16

• 4

What pattern is observed when calculating powers of 2 from 2^4 to 2^1?

• Subtracting 2

• Dividing by 2

• Adding 2

• Multiplying by 2

What is the value of any nonzero number raised to the power of zero?

• 0

• 1

• The number itself

• Undefined

What is the value of 3 to the power of zero?

• 3

• 0

• 1

• Undefined

What does a negative exponent indicate?

• Multiplication

• Addition

• Subtraction

• Division

What is the value of 2 to the power of -2?

• 1/2

• 2

• 4

• 1/4

How do you handle a negative exponent in a fraction?

• Subtract the base

• Flip the fraction and make the exponent positive

• Add the base

• Multiply by the base

What is the value of 7 to the power of -3?

• 1/343

• 343

• 7

• 1/7

In the context of a word problem, what does a negative exponent represent?

• Multiplication

• Division

• Direction

• Addition

If a bacterial population doubles every hour, what is the initial population if the population after 3 hours is 8000?

• 1000

• 2000

• 4000

• 8000