Exponent Properties and Simplification Techniques

This video tutorial by Kirk Weiler from eMathInstruction focuses on practicing exponent laws, including zero and negative exponents. The lesson covers various exercises that involve evaluating, combining, and simplifying exponent expressions. It emphasizes the importance of understanding exponent properties and using them to solve problems efficiently. The tutorial also includes multiple choice questions and complex problems to reinforce learning. Students are encouraged to practice without relying heavily on calculators to strengthen their understanding of exponent rules.

What is the main focus of this lesson?

• Understanding quadratic functions

• Solving linear equations

• Learning new exponent laws

• Practicing previously learned exponent laws

What is 2 to the power of -4?

• 1/32

• 1/4

• 1/16

• 1/8

When multiplying two exponents with the same base, what should you do with the exponents?

• Subtract them

• Multiply them

• Add them

• Divide them

What is 10 to the power of -3 times 10 to the power of 5?

• 10^2

• 10^8

• 10^-8

• 10^3

What is the result of 6^2 divided by 6^5?

• 6^7

• 6^-7

• 6^-3

• 6^3

What is 2^5 times 2^-8?

• 2^-13

• 2^-3

• 2^3

• 2^13

What is 5^-2 raised to the power of -1?

• 5^2

• 5^-2

• 5^-1

• 5^1

What is 7^5 raised to the power of 0?

• 0

• 1

• 7^0

• 7^5

What is the simplified form of 3^-5 times 3^4 all squared?

• 1/9

• 3^-2

• 3^-1

• 1/3

What is the value of n if 2^3 raised to the power of -2 times 2 can be written as 1/n?

• 64

• 32

• 16

• 8