 Simplify each of the following

Section P.2

 How can we simplify exponential expressions?  What is scientific notation and when is it used?

 Evaluate 2 4 (-3)

 Evaluate 4 3 (-3) 2 576

 Switch the location of the base  Numerator ↔ Denominator  The exponent becomes positive

 When multiplying exponential expressions with the same base, add the exponents.

 When dividing exponential expressions with the same base, subtract the exponents.

 When an exponential expression is raised to a power, multiply the exponents.

 When a product or quotient is raised to a power, raise each part to that power

A simplified exponential expression has:  No parentheses  No expressions with powers raised to powers  Each base appears only once  No negative exponents

 Simplify the following expression:

 Use: Numbers with very small and very large absolute values.  Format: A number greater than or equal to one and less than ten multiplied by a power of ten.  The exponent of the 10 tells us how many places to move the decimal point.  2.6 x 10 5 =  2.6 x =

= =

= = = = =

 Our sun sends out a constant “solar wind” of particles, mostly hydrogen atoms. Approximately 4 x particles, each with mass 1.7 x kg, are blown away from the sun each year. 1. How much mass does the sun lose each year due to solar wind? 2. What portion of the sun’s total mass (2 x kg) is lost each year?

 Page 20 #1-89 Every Other Odd (EOO), 97  Attempt every problem first  Check all answers in the back of the book  Retry any that you did not get correct

 Evaluate each exponential expression