Monomial Operations and Exponents

The video tutorial explains monomials, focusing on their components: coefficients, bases, and exponents. It covers the multiplication of monomials, emphasizing the addition of exponents when bases are identical. The tutorial also addresses the division of monomials, highlighting the subtraction of exponents. Examples illustrate these operations, showing how to handle different bases and coefficients.

What is the coefficient in the monomial 2x³?

• 1

• 3

• x

• 2

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

• Multiply them

• Add them

• Divide them

• Subtract them

In the expression 3x⁴ * 4x⁵, what is the resulting exponent of x?

• 9

• 4

• 8

• 5

What happens to the exponents when multiplying monomials with different bases?

• They are multiplied

• They are added

• They are subtracted

• They remain unchanged

In the expression 3x⁴ * 4y⁵, what is the product of the coefficients?

• 9

• 15

• 12

• 7

What is the result of multiplying the coefficients 5, 2, and 3?

• 25

• 30

• 15

• 10

When dividing monomials, what operation is performed on the exponents?

• Division

• Addition

• Subtraction

• Multiplication

In the division 24x⁶ / 3x⁴, what is the resulting coefficient?

• 9

• 12

• 6

• 8

In the expression 24x⁶ / 3x⁴, what is the resulting exponent of x?

• 2

• 4

• 6

• 8

In the expression 18x²y⁵ / 9xy², what is the resulting exponent of y?

• 1

• 5

• 2

• 3