Exponent Rules for Grade 8: Key Concepts and Vocabulary

This video tutorial focuses on exponent rules, including multiplying powers of 10 and using negative exponents. It extends these rules to other bases and explains how to combine expressions with the same exponents but different bases. The video concludes with a summary of the rules and their applications.

What happens to the exponent when you multiply a power of 10 by 1/10?

• The exponent decreases by 1

• The exponent increases by 1

• The exponent becomes negative

• The exponent remains unchanged

How can multiplying by two factors of 1/10 affect the exponent?

• Decreases the exponent by 2

• No effect on the exponent

• Decreases the exponent by 1

• Increases the exponent by 2

What is 10 to the 3rd power divided by 10 to the 5th power equal to?

• 10 to the 2nd power

• 10 to the -2nd power

• 1 over 10 to the 2nd power

• 10 to the 8th power

What does 10 to the -2nd power raised to the 3rd power equal?

• 1 over 10 to the 6th power

• 10 to the -6th power

• 10 to the 1st power

• 10 to the 6th power

Do exponent rules developed for 10 also work for other bases?

• No, only for prime numbers

• Yes, for all other bases

• No, only for powers of 10

• Yes, but only for bases greater than 10

What does 1/3 to the 2nd power times 1/3 to the 4th power equal?

• 1/81

• 1/3 to the 6th power

• 1/3 to the 2nd power

• 1/9

What is the result of 2 to the 3rd power times 5 to the 3rd power?

• 7 to the 3rd power

• 10 to the 3rd power

• 10 to the 6th power

• 25 to the 3rd power

How can expressions with the same exponent but different bases be combined?

• By subtracting the bases

• By multiplying the bases

• By dividing the bases

• By adding the bases

If a and b are variables, what is a to the 3rd power times b to the 3rd power equal to?

• a times b to the 3rd power

• a times b to the 6th power

• The quantity a times b to the 3rd power

• a plus b to the 3rd power

What is any positive number to the power of 0 equal to?

• The base itself

• 0

• Undefined

• 1