Exponents and Scientific Notation

This video tutorial covers exponent rules, including product, quotient, and power rules, as well as negative exponents. It also explains how to apply these rules to solve problems and introduces scientific notation for handling large and small numbers. The video provides examples and encourages students to focus on areas needing improvement.

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

• 16^6

• 16^40

• 16^14

• 16^8

What is the simplified form of (3^5)^2?

• 3^15

• 3^25

• 3^7

• 3^10

How do you simplify an expression with a negative exponent, such as b^-8?

• Multiply by 8

• Move b to the denominator

• Add 8 to the exponent

• Subtract 8 from the exponent

If 4^-2 is simplified, what is the result?

• 1/4

• 16

• 1/16

• 4

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

• 2^6

• 2^5

• 2^1

• 2^8

Which expression is greater: 4^-2 or 2^-4?

• They are equal

• 2^-4

• Cannot be determined

• 4^-2

How would you express 0.00085 in scientific notation?

• 8.5 x 10^4

• 85 x 10^-5

• 8.5 x 10^-4

• 0.85 x 10^-3

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

• 1.05 x 10^9

• 10.5 x 10^8

• 1.05 x 10^8

• 105 x 10^7

What is the result of adding 8.45 x 10^6 and 1.2 x 10^6?

• 9.65 x 10^6

• 8.45 x 10^12

• 7.25 x 10^6

• 1.2 x 10^12

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

• 2 x 10^14

• 2 x 10^8

• 5 x 10^14

• 5 x 10^8