Help me!
81 ^ 3/4
Divided by - ------ =
81 ^ 1/2

a. 3
b. (81/3) ^-1/2
c. 27
d. 9

Question

Help me!
                       81 ^ 3/4 
Divided by -> ------ =
                       81 ^ 1/2

a. 3
b. (81/3) ^-1/2
c. 27
d. 9

potatoes.ramu · Answer

Bring the half to the numerator

potatoes.ramu · Answer

you get 81^3/4-1/2

potatoes.ramu · Answer

So that sq. root of 81! Which is 9!!

anonymous · Answer

so you subtract the fractions?

potatoes.ramu · Answer

yeah!!

anonymous · Answer

which is 81 1/2?

phi · Answer

you do subtract the exponents:
¾ - ½
which is the same as
¾ - 2/4
(change ½ to 2/4 by multiplying top and bottom by 2)

btw, you do not get 1/2

potatoes.ramu · Answer

Oh yeah!! I wish the draw tool was working! Thank you! @phi

phi · Answer

you get 81^(¼)  
which means the "fourth root" of 81
to find the fourth root (if it has a "nice" one),  factor the number and look for the same number repeated four times.
Here 81 is 9*9 which is 3*3*3*3
we have four 3's, so 3 is the fourth root.

anonymous · Answer

so the answer is 3?

phi · Answer

yes, though I think that translates into the answer is (a)

anonymous · Answer

thanks :)