Exploring the Law of Exponents

This video tutorial covers the laws of exponents, including multiplying and dividing exponents, raising a power to a power, handling negative exponents, and the zero exponent rule. Each law is explained with examples, and shortcuts are provided for simplifying expressions. The tutorial concludes with a summary of all the laws discussed.

What is the base in the expression 2^5 = 32?

• 2

• 5

• 32

• None of the above

What is the value of 2^5?

• 64

• 32

• 25

• 10

What is the result of x^2 * x^4?

• x^4

• x^2

• x^8

• x^6

What is the simplified form of x^5 / x^3?

• x^2

• x^15

• x^8

• x^3

What is the result of (x^3)^2?

• x^9

• x^6

• x^5

• x^12

What is the simplified form of (2x^3y^2)^4?

• 32x^9y^10

• 16x^12y^8

• 8x^7y^6

• 2x^3y^2

What is the simplified form of x^3 / x^5?

• 1/x^2

• x^8

• x^2

• x^15

What is the simplified form of 1 / x^-3?

• 1

• x^-3

• 1/x^3

• x^3

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

• 0

• 1

• Undefined

• The number itself

What is the simplified form of 75x^4y^23z^17 raised to the zero power?

• z^17

• x^4

• 75

• 1