(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
Answer:
a,b
Step-by-step explanation:
Y - 3 = 2(x+5)
y - 3 = 2x + 10
-3 - 10 = 2x - y
-13 = 2x - y
D) 2x - y = -13
Answer:
220
Step-by-step explanation:
Given that the freshman class has 160 students.
Each freshman must write three reports from a list of 12 novels that the teacher has assigned them to read
Here order does not matter. Hence combinations can be used.
No of available options = 12
No to be selected =3
Possible number of ways = ways of selecting 3 from 12 where order does not matter
= 
Option B is right answer.