Exponents and Their Properties

This video tutorial covers the concept of potentiation, explaining the roles of base and exponent, handling negative exponents, and solving fractional exponents. It also discusses the rules for negative exponents, including base inversion, and addresses special cases. The lesson concludes with a summary of key points and encourages further study using the Curió method.

What is the result of 2 raised to the power of 5?

• 16

• 32

• 64

• 128

If -3 is squared with parentheses, what is the result?

• -6

• 6

• 9

• -9

What is the result of -2 raised to the power of 3?

• 8

• -6

• 6

• -8

What happens when a negative number is raised to an even exponent?

• The result is zero

• The result is undefined

• The result is positive

• The result is negative

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

• Undefined

• -1

• 1

• 0

How do you handle a negative exponent?

• Add the exponent

• Subtract the exponent

• Invert the base and change the sign of the exponent

• Square the base

What is the result of 3/5 squared?

• 3/25

• 15/25

• 6/10

• 9/25

How do you convert a root to an exponent?

• Raise the base to the reciprocal of the root

• Divide the base by the root

• Square the base

• Multiply the base by the root

What is 1/8 expressed as a power of 2?

• 2^-3

• 2^-2

• 2^3

• 2^2

How do you express 0.01 as a power of 10?

• 10^-2

• 10^1

• 10^-1

• 10^2