Scientific Notation and Exponents

This video tutorial covers exponent rules, including product, quotient, and power rules, and their application in simplifying expressions. It also explains negative exponents using an apartment analogy and demonstrates how to apply these concepts to solve problems. The video further explores scientific notation, teaching how to express large and small numbers and perform operations with them. The tutorial aims to help students identify areas for improvement and prepare for their upcoming test.

What is the result of applying the product rule to the expression 16^10 * 16^4?

• 16^6

• 16^8

• 16^40

• 16^14

How do you simplify the expression g^19 / g^12 using the quotient rule?

• g^31

• g^1

• g^7

• g^12

What is the simplified form of 3^-5?

• 3^5

• 1/3^5

• 3^-5

• 1/3^-5

If 2^3 is raised to the power of 2, what is the result?

• 2^8

• 2^9

• 2^6

• 2^5

Which of the following is the cube root of 64?

• 4

• 8

• 2

• 16

What is the perimeter of a square with an area of 225 square yards?

• 60 yards

• 30 yards

• 45 yards

• 15 yards

Convert 0.00085 to scientific notation.

• 0.85 x 10^-3

• 8.5 x 10^4

• 85 x 10^-5

• 8.5 x 10^-4

Which of the following numbers is correctly expressed in scientific notation?

• 500 x 10^1

• 50 x 10^2

• 0.5 x 10^3

• 5 x 10^3

How many times more words did Levi write this month compared to last month if he wrote 12,580 words this month and 125 words last month?

• About 10 times

• About 10000 times

• About 1000 times

• About 100 times

What is the result of dividing 5 x 10^11 by 2.5 x 10^3?

• 2 x 10^6

• 2 x 10^9

• 2 x 10^8

• 2 x 10^7