Exploring the Law of Exponents

The video tutorial covers the laws of exponents, including the product, power, and quotient rules. It emphasizes the importance of following the order of operations (PEMDAS) when evaluating exponential expressions. The tutorial provides examples to illustrate each rule, such as the product property, which involves multiplying like bases and adding exponents, and the power rule, which involves raising a power to another power. The video also explains the zero exponent rule, which states that any base raised to the zero power equals one.

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

• 6

• 12

• 9

• 8

If you square -4, what is the result?

• 8

• -16

• -8

• 16

What is the value of 3 to the power of 1?

• 27

• 9

• 3

• 1

Using the product property, what is x^2 * x^5?

• x^10

• x^7

• x^6

• x^3

What is the shortcut for multiplying like bases with exponents?

• Add the exponents

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

What is (x^3)^2 using the power rule?

• x^8

• x^9

• x^6

• x^5

How do you simplify (2x)^3?

• 2^3 * x

• 2 * x

• 2 * x^3

• 2^3 * x^3

What is (a/b)^x using the power of a quotient rule?

• a / b

• a^x / b

• a / b^x

• a^x / b^x

Using the quotient rule, what is x^5 / x^2?

• x^2

• x^7

• x^10

• x^3

What is any number raised to the power of zero?

• The number itself

• 0

• 1

• Undefined