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)
Answer:
w = ±![\sqrt[4]{36/5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B36%2F5%7D)
Step-by-step explanation:
-8+5w^4=28
You can regroup it:
5w^4 - 8 = 28
Add 8 to both side:
5w^4 = 28 + 8
5w^4 = 36
Divide both side by 5:
5w^4/5 = 36/5
w^4 = 36/5
Take the 4 root of both sides:
w = ±![\sqrt[4]{36/5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B36%2F5%7D)
Hope this help you :3
D,would be the correct answer.
Answer:
32/3 or 10.6 repeating
Step-by-step explanation:
multiply by reciprocal
6*(16/9)
96/9
simplified to 32/3