Mastering Multiplication and Division of Exponents

Mr. Swanner introduces the concepts of multiplying and dividing exponents, starting with a review of what exponents mean. He explains the process of multiplying exponents by adding them when the bases are the same and dividing exponents by subtracting them. The video also covers handling negative exponents by moving them between the numerator and denominator to make them positive. Throughout, Mr. Swanner emphasizes understanding the underlying principles to derive rules independently if forgotten.

What does 2 to the 3rd power mean?

• 3^2

• 2^3

• 2 * 2 * 2

• 2 + 2 + 2

What is the result of 2 to the 5th power?

• 64

• 10

• 16

• 32

How do you simplify 3^2 * 3^2?

• 3^6

• 9^2

• 3^4

• 81

What is the rule for multiplying exponents with the same base?

• Subtract the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

What is the result of 5^4 * 5^3?

• 5^6

• 5^1

• 5^12

• 5^7

How do you simplify x^2 * x^4?

• x^6

• x^8

• x^4

• x^2

What is the result of y^3 * y^5?

• y^2

• y^5

• y^8

• y^15

How do you simplify 2^7 / 2^4?

• 2^1

• 2^3

• 2^11

• 2^4

What is the rule for dividing exponents with the same base?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

How do you convert 5^-7 to a positive exponent?

• 5^7

• 1/5^7

• 5^-7

• 1/5^-7