Exponent Rules and Calculations

The video tutorial covers rules of exponents, demonstrating how to solve complex exponent problems by distributing exponents and multiplying results. It provides step-by-step solutions to two example problems and introduces additional practice problems for students to try on their own.

What is the first step in solving the expression 2x²y⁴z³ to the fourth power?

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

• Add the exponents

How do you calculate 2 to the fourth power?

• 2 / 2 / 2 / 2

• 2 x 2 x 2 x 2

• 2 - 2 - 2 - 2

• 2 + 2 + 2 + 2

What is the result of 2 to the fourth power?

• 8

• 20

• 16

• 12

What is the exponent of x after distributing in the expression 2x²y⁴z³ to the fourth power?

• 4

• 6

• 8

• 10

What is the coefficient when 3 is raised to the third power?

• 36

• 18

• 9

• 27

What is the final exponent of y in the combined expression?

• 31

• 33

• 32

• 34

What is the first step in solving the new problem with 4 cubed?

• Add the exponents

• Multiply the exponents

• Calculate 4 cubed

• Divide the exponents

What is the result of 4 cubed?

• 32

• 48

• 64

• 80

What is the exponent of x after distributing in the expression 4 cubed x to the nine times 3?

• 18

• 27

• 36

• 45

What is the final coefficient when combining the results of the new problem?

• 4096

• 3072

• 2048

• 1024