Exploring Zero and Negative Exponent Properties

This video tutorial covers the zero and negative exponent properties in Algebra 1. It begins by explaining the zero exponent property, demonstrating that any number raised to the power of zero equals one, using patterns and examples. The tutorial then explores the negative exponent property, showing that a negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. The video uses examples with different numbers to illustrate these properties, emphasizing their consistent application across various scenarios.

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

• 6

• 4

• 10

• 8

What pattern is observed when reducing the exponent by one for the base 2?

• Adding 2

• Subtracting 2

• Dividing by 2

• Multiplying by 2

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

• 0

• 1

• Undefined

• The number itself

Which of the following is true for the zero exponent property?

• Any number raised to zero is undefined

• Any number raised to zero is zero

• Any number raised to zero is one

• Any number raised to zero is the number itself

What is the value of 3 to the power of -1?

• 1/3

• 3

• 9

• 1/9

What pattern is observed when reducing the exponent by one for the base 3?

• Dividing by 3

• Multiplying by 3

• Subtracting 3

• Adding 3

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

• 1/8

• 1/4

• 1/2

• 1/16

Which of the following is true for the negative exponent property?

• a^-n = -a^n

• a^-n = 1/a^n

• a^-n = a^n

• a^-n = 1/-a^n

What is the value of 4 to the power of -1?

• 1/16

• 16

• 1/4

• 4

What is the value of 5 to the power of -3?

• 1/5

• 1/25

• 1/125

• 1/625