Which is the simplified form of the expression [(p^2)(q^5)]^-4 •[(p^-4)(q^5)]^-2? O 1/q^30
O q^30
O p^12/q^60
O p^12q^60

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock