Exploring Zero and Negative Exponents

What type of reasoning helps us identify patterns in mathematics?

• Deductive reasoning

• Inductive reasoning

• Abductive reasoning

• Analogical reasoning

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

• 2

• Undefined

• 1

• 0

If 3 to the power of zero equals one, what is 3 to the power of one?

• 3

• 1

• 0

• 9

What is the value of negative 4 to the power of zero?

• 0

• 1

• -1

• -4

What is the value of 2 to the power of negative one?

• 2

• 1/2

• -1/2

• -2

What is the reciprocal of 3 to the power of 2?

• 1/3

• 9

• 1/9

• 3

What is the value of 9 to the power of negative one?

• 9

• 1/9

• -9

• -1/9

What is the reciprocal of X to the power of 7?

• 1/X^-7

• X^7

• 1/X^7

• X^-7

What is the value of 1 over Y to the power of negative 3?

• Y^-3

• 1/Y^3

• Y^3

• 1/Y^-3

In the expression 3XY to the power of negative 5, which part is raised to the negative power?

• 3 and X

• 3

• X

• Y