Tammy's recipe makes a sweeter fruit punch. This is because 3/4 (Kim's recipe) equals 18/24 (Tammy's recipe) and 5/6 equals 20/24 and since 20/24 is the bigger ratio, Tammy's recipe will make a sweeter fruit punch. I hope this helps. (:
(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)
This becomes easier if we switch to fractional exponents:
5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3) 5^(5/3) 5^(5/3)
Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.
1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)
That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:
1 5^(1/6) 5^(1/6)
---------- * ------------- = -------------- (ANSWER)
5^(5/6) 5^(1/6) 5
Lm would be 78 because it is halfway between ab and dc and 98-58=40 and half of 40=20, so 58+20=78 or 98-20=78.
