Exploring Zero and Negative Exponents

Mrs. Bettis introduces exponents, focusing on zero and negative exponents. She explains the zero exponent property, showing that any non-zero number raised to the zero power equals one. The lesson then covers negative exponents, demonstrating how they create fractions and reciprocals. Various examples and practice problems are provided to reinforce these concepts.

What is the base in the expression 3^4?

• 4

• 3

• 12

• 7

If 3^4 equals 81, what is 3^3?

• 243

• 81

• 27

• 9

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

• 0

• 1

• The number itself

• Undefined

What is the value of 2^0?

• 2

• Undefined

• 1

• 0

What does a negative exponent do to a number?

• Makes it negative

• Turns it into a fraction

• Subtracts one from it

• Adds one to it

What is 4^-2 equivalent to?

• 4^2

• 1/4^2

• 1/4

• 4^-4

What is the value of 5^0 * 3x?

• 15x

• 3x

• 5x

• 0

Simplify the expression: 6^-1

• 0

• -6

• 1/6

• 6

What happens to the expression x^-3?

• It becomes -x^3

• It becomes x^3

• It stays the same

• It becomes 1/x^3

Simplify the expression: 2b^6c^-4

• 2b^6c

• 2/b^6c^4

• 2b^6c^4

• 2b^6/c^4