First, divide both sides by 9. You have: e^2f=49/9 To get rid of the exponent on the e, take both sides to the reciprocol power, which is 1/2f. If you have (e^2f)^(1/2f) you can multiply the exponents, as this isa property of exponents. 2f*(1/2f)=2f/2f=1 So taking this side to that power gives us e^1, or simply e. Now, let's try the other side. (49/9)^(1/2f) First, we will distribute the exponent to both terms, another property of exponents. (49^(1/2f))/(9^(1/2f)) Just as you can multiply the exponents as you did previously, you can also split two multiplied exponents. ((49^(1/2))^1/f)/((9^(1/2))^(1/f)) Taking something to the 1/2 power is the same as square rooting it. We can simplify using this information. (7^(1/f))/(3^(1/f)) This is the simplest form our answer can be in. Also, since this side is equivalent to e, it is clearly our answer. e=(7^(1/f))/(3^(1/f))
32 people each get a pint and 1 pint is roughly 0.125 gallons so assuming that the pitcher can hold one gallon each then it would be 4 pitchers D is your answer.
