Mastering Negative Exponents and Scientific Notation

This tutorial covers negative exponents and scientific notation. It explains the negative exponent rule, how to simplify exponential expressions, and how to convert between scientific and decimal notation. The video also demonstrates computing with scientific notation and solving applied problems. The tutorial concludes with a summary and introduces the next topic: the greatest common factor.

What will you learn in this tutorial?

• How to graph linear equations

• How to compute integrals

• How to use the negative exponent rule

• How to solve quadratic equations

What should you do when a negative number appears as an exponent?

• Add the exponent to the base

• Switch the position of the base and make the exponent positive

• Multiply the base by the exponent

• Subtract the exponent from the base

How would you rewrite 6^-2 using the negative exponent rule?

• 6^2

• 1/6^2

• 6^-2

• 1/6

What is the result of simplifying 2x^4 cubed over x^18?

• 8x^6

• 2x^6

• 8x^12/x^18

• 2x^12/x^18

What is the format for scientific notation?

• a * 10^n where a is greater than 10

• a * 10^n where a is any real number

• a * 10^n where a is between 1 and 10

• a * 10^n where a is less than 1

How do you convert 16,000 to scientific notation?

• 1.6 * 10^3

• 1.6 * 10^4

• 16 * 10^3

• 16 * 10^4

How do you write 2.9 * 10^-3 in decimal notation?

• 0.00029

• 0.000029

• 0.0029

• 0.029

What is the result of multiplying 5 * 10^3 by 4 * 10^-8?

• 20 * 10^-5

• 20 * 10^5

• 2 * 10^6

• 2 * 10^-6

How do you divide 10^m by 10^n?

• 10^(m/n)

• 10^(m*n)

• 10^(m-n)

• 10^(m+n)

What is the result of raising 10^m to the power of n?

• 10^(m+n)

• 10^(m-n)

• 10^(m/n)

• 10^(m*n)