Exponents and Operations Review

The video tutorial explains how to handle mixed multiplication and division problems involving exponents. It emphasizes performing multiplication first, followed by division, and then simplifying the expression as much as possible. The tutorial provides three examples, each demonstrating the step-by-step process of solving such problems, including multiplying coefficients, adding and subtracting exponents, and simplifying fractions. The video concludes with a summary of the rules for handling mixed operations with exponents.

What is the first step when solving mixed multiplication and division problems with exponents?

• Evaluate the expression

• Perform multiplication first

• Add the exponents

• Perform division first

In the first example, what is the result of multiplying the coefficients 2 and 10?

• 12

• 25

• 20

• 15

After multiplying the coefficients in the first example, what is the next step?

• Subtract the exponents

• Evaluate the base

• Divide the coefficients

• Add the exponents

In the second example, what is the result of 36 divided by 12?

• 3

• 4

• 2

• 6

What is the exponent of x after simplifying in the second example?

• x^4

• x^3

• x^5

• x^2

In the third example, what is the result of 6 times 3?

• 12

• 18

• 15

• 21

How do you simplify the fraction 18/24 in the third example?

• Divide by 2

• Divide by 6

• Divide by 4

• Divide by 3

What is the exponent of y after simplifying in the third example?

• y^2

• y^4

• y^1

• y^3

What should you do when you have mixed multiplication and division with exponents?

• Follow division rules only

• Follow multiplication rules only

• Follow each rule separately

• Ignore the rules

What is the final step in solving mixed operations with exponents?

• Multiply the bases

• Evaluate as far as possible

• Subtract the exponents

• Add the coefficients