Understanding the Power Rule in Exponents

This video tutorial explains the power rule of exponents, which involves raising a power to another power by multiplying the exponents. It provides examples and exercises to illustrate the concept, including handling negative exponents. The video also offers solutions to exercises and discusses the implications of negative exponents.

What is the base in the expression a^2?

• 2

• a^2

• None of the above

• a

How do you apply the power rule to x^2 raised to the 4th power?

• x^2

• x^4

• x^6

• x^8

What is the result of 2^3 raised to the 2nd power?

• 64

• 16

• 32

• 8

What is the simplified form of (5x^4y^3)^4?

• 5x^16y^12

• 5x^4y^3

• 5^4x^4y^3

• 5^4x^16y^12

How do you simplify 2b^3 raised to the 2nd power?

• 2b^3

• 4b^3

• 2b^6

• 4b^6

What is the exponent of 2 in the expression 2^1?

• 0

• 2

• 1

• None of the above

In the expression x^3 raised to a negative 2, what is the simplified form?

• x^6

• 1/x^6

• x^-6

• 1/x^-6

How do you simplify negative 2 raised to the 2nd power?

• -4

• 4

• 2

• -2

What is the result of m^4 raised to the 2nd power?

• m^6

• m^8

• m^2

• m^4

In the expression (negative 2)^2, what is the result?

• 4

• 2

• -4

• -2