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

Tags

CCSS.8.EE.A.1

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

• 0

• 1

• 5^5

• 5

Tags

CCSS.8.EE.A.1

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

• -x^a

• x^a

• 1/x^a

• x^-a

Tags

CCSS.8.EE.A.1

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

• -3^2

• 3^2

• 3^-2

• 1/3^2

Tags

CCSS.8.EE.A.1

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

• x^(a*b)

• x^(a-b)

• x^(a/b)

• x^(a+b)

Tags

CCSS.8.EE.A.1

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

• 4^0

• 4^7

• 4^12

• 4^1

Tags

CCSS.8.EE.A.1

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

• x^(a/b)

• x^(a-b)

• x^(a+b)

• x^(a*b)

Tags

CCSS.8.EE.A.1

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

• 4^3

• 4^0

• 4^2

• 4^1

Tags

CCSS.8.EE.A.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)

Tags

CCSS.6.EE.A.1

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

• 4^2*3^2

• 4^2*3

• 12^2

• 4*3^2

Tags

CCSS.6.EE.A.1