Understanding the Laws of Exponents

What is the result of applying the product rule to X^3 * X^9?

• X^12

• X^9

• X^27

• X^6

What is the sum of the exponents when using the product rule on X^5 * X^3?

• 5

• 3

• 15

• 8

How do you simplify 4X^2 * 5X using the product rule?

• 9X^2

• 20X^2

• 9X^3

• 20X^3

In the expression 4X^2 * 5X, what is the coefficient of the simplified expression?

• 9

• 20

• 10

• 5

When multiplying 2X^2 * 3X * 4Y, what is the exponent of X in the simplified expression?

• 2

• 3

• 4

• 5

What is the simplified form of 2X^2 * 3X * 4Y?

• 24X^3Y

• 12X^2Y

• 24X^2Y

• 12X^3Y

What is the simplified form of 21Y^7 / 7Y^4 using the quotient rule?

• 3Y^3

• 3Y^4

• Y^4

• Y^3

Using the quotient rule, what is the result of 21Y^7 / 7Y^4?

• Y^4

• 3Y^3

• 3Y^4

• Y^3

How do you simplify 24X^2Y^3 * 2X^8 / 6XY^2?

• 4X^9Y

• 4X^10Y

• 8X^10Y

• 8X^9Y

What is the greatest common factor used to simplify 24X^2Y^3 * 2X^8 / 6XY^2?

• 2

• 4

• 6

• 3