Exploring Unit 7 Lesson 3: Adding and Subtracting Rational Expressions

This video tutorial covers the concept of powers of ten, focusing on simplifying exponents and calculating volumes using exponential notation. It includes activities and examples to demonstrate exponent rules, such as multiplying powers with the same base. The tutorial also provides homework problems for practice, emphasizing the importance of converting numbers to base 10 for simplification.

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

• 1,000,000 cubic kilometers

• 10,000 cubic kilometers

• 100,000 cubic kilometers

• 1,000,000,000,000 cubic kilometers

How can 10,000 be expressed as a power of 10?

• 10^3

• 10^6

• 10^4

• 10^5

What is the result of 10^4 multiplied by itself three times?

• 10^10

• 10^8

• 10^16

• 10^12

What is the simplified form of (10^3)^2?

• 10^9

• 10^6

• 10^5

• 10^12

If you have 10^2 and you multiply it by itself five times, what is the result?

• 10^12

• 10^7

• 10^10

• 10^5

What is the result of (10^8)^11?

• 10^88

• 10^80

• 10^81

• 10^89

How many feet are in one million inches?

• 83,333 feet

• 100,000 feet

• 120,000 feet

• 150,000 feet

If you arrange one million cubes each with a side of one inch into a square, what would be the side length of the square in inches?

• 1,000 inches

• 10,000 inches

• 100 inches

• 10 inches

How many amoebas will there be after 6 hours if they double every hour?

• 128

• 256

• 32

• 64

If Elena is currently e years old and Katie is k years old, which equation represents the statement: 'In four years, Elena will be as old as Katie is now'?

• e + 4 = k - 4

• e = k + 4

• e + 4 = k + 4

• e + 4 = k