Properties of Exponents and Powers

The video tutorial covers the properties of exponents, including the zero power rule, negative exponents, multiplication and division of exponents with the same base, the power of a power rule, and the power of a product rule. Each rule is explained with examples to illustrate how exponents work in different mathematical operations.

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

• Undefined

• 1

• 0

• The number itself

Which of the following is equal to 5 raised to the zero power?

• 0

• 1

• 5^5

• 5

What is the equivalent of x raised to the negative a power?

• -x^a

• x^a

• 1/x^a

• x^-a

How would you express 3 raised to the negative 2 power?

• -3^2

• 3^2

• 3^-2

• 1/3^2

What is the result of multiplying x^a by x^b?

• x^(a*b)

• x^(a-b)

• x^(a/b)

• x^(a+b)

Which of the following is correct for 4^3 * 4^4?

• 4^0

• 4^7

• 4^12

• 4^1

How do you divide x^a by x^b?

• x^(a/b)

• x^(a-b)

• x^(a+b)

• x^(a*b)

What is the result of 4^4 divided by 4?

• 4^3

• 4^0

• 4^2

• 4^1

What is the result of raising (x^a) to the power of b?

• x^(a-b)

• x^(a+b)

• x^(a/b)

• x^(a*b)

How would you simplify (4^2 * 3^2)?

• 4^2*3^2

• 4^2*3

• 12^2

• 4*3^2