Exploring Zero and Negative Exponent Properties

This video tutorial covers the properties of exponents, including the zero exponent rule and handling negative exponents. It explains how to convert negative exponents to positive by taking reciprocals and provides examples to illustrate these concepts. Advanced properties such as the power of a power and product of powers are also discussed, with practical examples to reinforce understanding.

What is the value of any base raised to the power of zero?

• The base itself

• 1

• 0

• Undefined

If you have x^3 * x^4 * x^0, what is the simplified form?

• x^4

• x^7

• x^0

• x^3

How do you handle a negative exponent?

• Ignore it

• Add it to the base

• Flip the base and make the exponent positive

• Subtract it from the base

What is 2^-3 equal to?

• -8

• 1/8

• 8

• -1/8

What happens to a negative exponent in the numerator of a fraction?

• It stays the same

• It moves to the denominator and becomes positive

• It becomes zero

• It is subtracted from the base

Simplify 5^-x.

• 5^x

• x/5

• 1/5^x

• 5^-x

What is the result of (3^-2) * (3^2)?

• 3^4

• 1

• 3^-4

• 3^0

How do you simplify (2^-3)^-2?

• 1/2^6

• 2^-6

• 1/2^-6

• 2^6

What is the simplified form of 3^-4?

• 1/3^4

• 3^4

• 81

• 1/81

What is the value of (1/3)^-2?

• 1/9

• 9

• 1/3

• 3