Answer:

Step-by-step explanation:
The relevant rule of exponents is ...
(a^b·c^d)^e = a^(be)·c^(de)
Then ...
(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)
= m^(35/12)·n^(-28/15)
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Since you want positive rational exponents, you can write this as ...
= m^(35/12)/n^(28/15)
For the solution I isolated the variable by dividing each side by factors that don't contain the variable.
x = -6 + ∛2 / 2
x ≈ -5.37003947
Hope this helps!! :3
(If not, sorry)
Answer:
0+10i
Step-by-step explanation:
sqrt(-100)
sqrt(-1) * sqrt(100)
The sqrt(-1) = i
i ( 10)
There is no real component and the imaginary part is 10
0 + 10i
18/99 makes it 2/11 which is
0.18181818181818181818181818....
Is that what you wanted?
Thank you!
Hope I helped!
Happy Holidays!
:P