Answer:
![\displaystyle\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
Step-by-step explanation:
It can work well to identify 4th powers under the radical, then remove them.
![\displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E6y%7D%7B128x%5E4y%5E5%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B16y%5E4%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B%282y%29%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
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The applicable rules of exponents are ...
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
The x-factors simplify as ...
x^6/x^4 = x^(6-4) = x^2
The y-factors simplify as ...
y/y^5 = 1/y^(5-1) = 1/y^4
The constant factors simplify in the usual way:
24/128 = (8·3)/(8·16) = 3/16
Answer:
Step-by-step explanation:
Let Waldo's speed = W
Let Ralph's speed = W + 15
A
Waldo's distance = speed * Time
Time = 4 hours.
Speed = w
distance = 4 * w
B
Ralph's speed is W + 15. It's not clear if you need a number. We'll get around to that later.
C
Ralph traveled 4*(W + 15)
D
4w + 70 + 4(W + 15) = d
You really can't get a definite answer to these questions. Even if you knew whether they were heading away from each other or towards each other it wouldn't help.
Answer:
36
Step-by-step explanation:
Use PEMDAS:
2*10 is 20
2*2 is 4
So the equation is now
2+20+4+10=
Now add:
36
Thus the solution is 36
Hope this helps!
Answer:
the answer is 33 9/11
Step-by-step explanation:
multiply the fractions
.
.
