Properties of Exponents and Signs

This video tutorial covers simplifying exponents with larger powers. It explains the calculations for three to the fourth power, two to the sixth power, and negative one to the seventh power. The tutorial emphasizes careful arithmetic and highlights the importance of understanding the signs when dealing with negative exponents. The video concludes with a general rule about raising negative numbers to odd exponents.

What is the result of 3 raised to the fourth power?

• 9

• 27

• 81

• 64

How many times is the number 3 multiplied by itself in 3 to the fourth power?

• 5

• 4

• 3

• 2

What is the result of 2 raised to the sixth power?

• 16

• 128

• 64

• 32

How many times is the number 2 multiplied by itself in 2 to the sixth power?

• 8

• 6

• 5

• 7

What is the result of negative 1 raised to the seventh power?

• 1

• -1

• 0

• 7

What happens to the sign of a negative number when raised to an odd power?

• It becomes positive

• It becomes negative

• It becomes zero

• It remains unchanged

If negative 1 is raised to the 71st power, what is the result?

• 0

• 71

• -1

• 1

What is the result of multiplying two negative numbers?

• Negative

• Undefined

• Positive

• Zero

What is the result of multiplying a positive number by a negative number?

• Negative

• Positive

• Zero

• Undefined

What is the result of multiplying a number by zero?

• Undefined

• The number itself

• Zero

• One