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

Tags

CCSS.6.EE.A.1

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

Tags

CCSS.6.EE.A.1

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

• 0

• 1

• The number itself

• Undefined

Tags

CCSS.8.EE.A.1

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

• 3

• 0

• 1

• Undefined

Tags

CCSS.8.EE.A.1

What does a negative exponent indicate?

• Multiplication

• Addition

• Subtraction

• Division

Tags

CCSS.8.EE.A.1

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

• 1/2

• 2

• 4

• 1/4

Tags

CCSS.8.EE.A.1

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

Tags

CCSS.8.EE.A.1

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

• 1/343

• 343

• 7

• 1/7

Tags

CCSS.8.EE.A.1

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

• Multiplication

• Division

• Direction

• Addition

Tags

CCSS.8.EE.A.1

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

• 1000

• 2000

• 4000

• 8000

Tags

CCSS.HSF.LE.A.4