Multiplying and Dividing Monomials

TL;DR

Learn how to multiply and divide monomials and powers by adding or subtracting exponents.

Transcript

in this video we're going to talk about multiplying and dividing monomials and powers so let's start with the basics what is 4 squared times 4 cubed whenever you multiply 2 monomials with the same base in this case four you are allowed to add the exponents so two plus three is five so this is going to be four to the fifth power so here's another ex... Read More

Key Insights

• ⚾ Multiplying monomials with the same base involves adding exponents, while dividing involves subtracting exponents.
• 🤘 Negative exponents can be moved to the bottom and change their sign.
• ✖️ When multiplying two monomials, multiply the constants and then add the exponents of the variables.
• 👻 The same base allows for easy addition of exponents, while different bases require conversion or multiplication of the constants.

Questions & Answers

Q: How do you multiply monomials with the same base?

To multiply monomials with the same base, add the exponents. For example, 4 squared times 4 cubed is equal to 4 to the fifth power.

Q: How do you divide two numbers with the same base?

To divide two numbers with the same base, subtract the exponents. For example, 7 to the 8 divided by 7 to the third is equal to 7 to the fifth power.

Q: How do you handle negative exponents?

For negative exponents, move the variable from the top to the bottom and change the sign. For example, y cubed divided by y to the fourth is equivalent to 1 over y to the fourth.

Q: How do you multiply two monomials together?

Multiply the constants first and then multiply the variables, adding their exponents. For example, 3x squared times 5x to the fourth is equal to 15x to the sixth.

Summary & Key Takeaways

• When multiplying monomials with the same base, add the exponents.

• When dividing two numbers with the same base, subtract the exponents.

• Negative exponents can be moved from the top to the bottom, changing the sign.