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 handle them. The video further explores scientific notation, teaching how to express large and small numbers in this format. Students are encouraged to focus on areas needing improvement and are provided with strategies to tackle challenging problems.

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

• 16^14

• 16^40

• 16^6

• 16^8

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

• g^1

• g^12

• g^7

• g^31

What is the simplified form of 3^-5?

• 1/3^-5

• 3^-5

• 1/3^5

• 3^5

If you have a power to a power, such as (x^3)^4, what is the simplified result?

• x^9

• x^1

• x^7

• x^12

Which of the following is equivalent to 2^3 * 2^2?

• 2^6

• 2^4

• 2^5

• 2^1

What is the scientific notation for the number 0.00085?

• 8.5 x 10^3

• 8.5 x 10^-3

• 8.5 x 10^-4

• 8.5 x 10^4

Convert the number 1,050,000,000 into scientific notation.

• 1.05 x 10^11

• 1.05 x 10^8

• 1.05 x 10^9

• 1.05 x 10^10

When adding numbers in scientific notation, what must be true about their exponents?

• They must be negative.

• One must be zero.

• They must be the same.

• They must be different.

How do you multiply (3 x 10^6) by (2 x 10^3) in scientific notation?

• 6 x 10^18

• 5 x 10^9

• 5 x 10^18

• 6 x 10^9

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

• 2 x 10^14

• 2 x 10^6

• 2 x 10^4

• 2 x 10^8