Simplifying Zero and Negative Exponents

The video tutorial covers zero and negative exponents, explaining their properties and how to simplify expressions involving them. It includes guided practice and word problems to apply these concepts, emphasizing the importance of understanding exponent rules and their applications.

What does 3 to the 3rd power represent?

• 3 / 3 / 3

• 3 - 3 - 3

• 3 x 3 x 3

• 3 + 3 + 3

What is the value of any nonzero number raised to the 0 power?

• The number itself

• 1

• 0

• Undefined

What does a negative exponent indicate?

• A fraction

• A zero

• A negative number

• An undefined value

What is the simplified form of 7 to the negative 3 power?

• 7^3

• 1/7^3

• 7^-3

• 1/7^-3

How do you simplify an expression with a negative exponent in the denominator?

• Move it to the denominator and change the exponent to positive

• Move it to the numerator and keep the exponent negative

• Move it to the numerator and change the exponent to positive

• Move it to the denominator and keep the exponent negative

What is the simplified form of x to the negative 9th power?

• 1/x^-9

• x^-9

• 1/x^9

• x^9

What is the value of 3s to the 3rd power over t squared if s = 2 and t = -3?

• 24/3

• 8/9

• 24/9

• 8/3

What happens to a negative number raised to an even exponent?

• It becomes undefined

• It remains negative

• It becomes positive

• It becomes zero

If a population of bacteria doubles every hour, what is the population after 0 hours if it starts with 1000 bacteria?

• 0

• 500

• 1000

• 2000

If a population of insects triples every week, what is the population after 1 week if it starts with 5400 insects?

• 600

• 1800

• 5400

• 16200