Exponent Rules and Simplification

The video tutorial covers eighth-grade unit 7 on exponents and scientific notation. It begins with an introduction to exponents and calculating the volume of a cube using exponents. The lesson progresses to exploring powers of W, operations with exponents, and simplifying expressions. The tutorial includes activities to explore patterns in exponents and concludes with a discussion on exponent operations.

What is the volume of a cube with each side measuring 10,000 kilometers?

• 1,000,000,000 km³

• 1,000,000 km³

• 10,000 km³

• 10,000,000 km³

How can W to the third raised to the fourth power be expressed using a single exponent?

• W to the ninth

• W to the sixth

• W to the twelfth

• W to the seventh

What operation is used on the exponents when raising a power to another power?

• Addition

• Division

• Subtraction

• Multiplication

If H to the second T to the fifth is expanded five times, what is the simplified expression?

• H to the tenth T to the fifth

• H to the tenth T to the twenty-fifth

• H to the fifth T to the tenth

• H to the fifth T to the fifth

What is the simplified form of D to the second over M raised to the third power?

• D to the sixth over M to the sixth

• D to the third over M to the third

• D to the sixth over M to the third

• D to the third over M to the sixth

What is the result of B to the third divided by W to the fourth raised to the third power?

• B to the twelfth over W to the twelfth

• B to the ninth over W to the ninth

• B to the twelfth over W to the ninth

• B to the ninth over W to the twelfth

When raising a power of 10 to another power, what pattern is observed?

• The exponents are multiplied

• The exponents are subtracted

• The exponents are divided

• The exponents are added

How many tens are there in 10 to the third repeated four times?

• 20

• 15

• 12

• 10

What is the equivalent expression for 10 to the second times 10 to the second times 10 to the second?

• 10 to the sixth

• 10 to the seventh

• 10 to the fourth

• 10 to the fifth

Who is correct about multiplying powers with the same base, Andre or Elena?

• Both are correct

• Elena is correct

• Neither is correct

• Andre is correct