Power Rule of Exponents - Cool math

The video tutorial explains the power rule of exponents, demonstrating how to simplify expressions where a number is raised to a power and then raised to another power. It provides examples, including 3 squared raised to the 6th power, and discusses the product rule. The tutorial also covers handling negative exponents and distributing exponents across terms. Practice problems are provided for further understanding.

What is the power rule of exponents used for?

• Dividing exponents of different bases

• Multiplying exponents when a power is raised to another power

• Subtracting exponents of the same base

• Adding exponents of the same base

If you have (3^2)^6, what is the simplified form using the power rule?

• 3^12

• 3^36

• 3^18

• 3^8

How do you apply the product rule in the expression x^m * x^n?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

What is the result of (x^2)^8 using the power rule?

• x^10

• x^16

• x^18

• x^20

When distributing an exponent across terms, what must you ensure?

• Distribute only to the numerators

• Only distribute to the first term

• Ignore the distribution for negative exponents

• Distribute to all terms, including denominators

How do you handle a negative exponent in an expression?

• Leave it as is

• Convert it to a positive by taking the reciprocal

• Add 1 to the exponent

• Subtract 1 from the exponent

What is the simplified form of 2^-3?

• 1/8

• 8

• 1/2

• 2

In the expression (x^3 * y^2)^4, what is the exponent of y after applying the power rule?

• y^6

• y^10

• y^12

• y^8

What is the quotient property of exponents used for?

• Adding exponents

• Multiplying exponents

• Subtracting exponents

• Dividing exponents

If you have x^8 / x^6, what is the simplified form using the quotient property?

• x^2

• x^4

• x^6

• x^14