Exploring Multiplication and Division of Monomials

This video tutorial covers the multiplication and division of monomials, focusing on metric units and powers of ten. It explains how to use exponents in multiplication and division, emphasizing the importance of matching bases. The key concept of adding exponents when multiplying powers with the same base is highlighted, along with the process of subtracting exponents during division. The tutorial includes practical examples and exercises to reinforce these mathematical principles.

What is the range of spider sizes mentioned in the video?

• 1 kilometer to 7.6 meters

• 1 millimeter to 7.6 centimeters

• 1 centimeter to 7.6 millimeters

• 1 meter to 7.6 kilometers

How much bigger is a centimeter compared to a millimeter?

• 1000 times

• 100 times

• 10 times

• 5 times

What is 10 times 10 expressed as a power of 10?

• 10^1

• 10^2

• 10^3

• 10^4

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

• Multiply them

• Subtract them

• Divide them

• Add them

What is the result of multiplying x^2 by x^5?

• x^10

• x^7

• x^12

• x^3

What is the coefficient when multiplying -3x^2 by 4x^5?

• -7

• -12

• 12

• -15

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

• Subtract them

• Divide them

• Add them

• Multiply them

What is the result of dividing 5^7 by 5^4?

• 5^3

• 5^11

• 5^2

• 5^1

What is the result of dividing x^7 by x^4?

• x^2

• x^1

• x^11

• x^3

What is the result of multiplying -2^3 by 3^3 by 5^3?

• 27,000

• -27,000

• -8,000

• 8,000