Mastering Multiplication and Division of Exponents

The video tutorial covers properties of exponents, focusing on multiplying and dividing exponents with the same base. It explains how to add exponents when multiplying and subtract them when dividing. The tutorial also addresses handling negative exponents and converting results into scientific notation. Through examples, it demonstrates these concepts and provides quick checks for practice. The session concludes with a review of exponent properties, emphasizing the importance of understanding these rules for quizzes and tests.

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

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

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

• 3^12

• 3^1

• 3^9

• 3^20

How should you handle a negative exponent in your final answer?

• Add 1 to it

• Leave it as is

• Move it to the denominator and make it positive

• Ignore it

What is the simplified form of 5^(-2) * 5^2?

• 5^2

• 5^4

• 5^(-4)

• 5^0

When multiplying numbers in scientific notation, what must you ensure about the final result?

• The exponent is negative

• The number is between 1 and 10

• The number is greater than 10

• The exponent is zero

What is the correct scientific notation for 28 * 10^7?

• 28 * 10^7

• 2.8 * 10^8

• 0.28 * 10^6

• 280 * 10^6

When dividing two numbers with the same base, what should you do with the exponents?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What is the result of a^6 / a^14?

• a^(-8)

• 1 / a^8

• a^8

• a^20

What is the quotient of c^(-1) / c^5?

• c^6

• c^4

• c^(-6)

• 1 / c^6

What is the first step in simplifying an expression with a negative exponent?

• Ignore the negative sign

• Multiply the exponents

• Move the negative exponent to the denominator

• Add the exponents