153. Explain the negative exponent rule and give an example. * The negative exponent rule is any real number other than 0 and the exponent is any natural number. For example b-n= 1/bn
154. How do you know if an exponential expression is simplified? * You know if an exponential expression is simplified when; no parentheses appear, no powers are raised to powers, no negative or zero exponents appear, and each base occurs only once.
155. How do you know if a number is written in scientific notation? * Scientific notation is written in the formula a*10n, where a would be a number between 1 and 10, and n would be an integer.
156. Explain how to convert from scientific to decimal notation and give an example. * If the integer is positive move the decimal point to the right that number of places. If the integer is negative move it to the left that number of places. Example : 8.2*103=8200
157. Explain how to convert from decimal to scientific notation and give an example. * If using the number 8,200,000,000,000,000 I would use the formula, a*10n. So first I need to know that a is a number between 1 and 10 and move my decimal point until I find that, which in this case would be 8.2. Then count how many decimals I moved to find my n value. So, this would be 8.2*1015.
158. Describe one advantage of expressing a number in scientific notation over decimal notation. * One advantage would be for very large numbers it would be easier to write.