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Answer: Choice B</h3>
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Explanation:
The rule we use is
![\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m](https://tex.z-dn.net/?f=%5CLarge%20a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D%20%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Ba%7D%5Cright%29%5Em)
where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).
So for instance,
![\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3](https://tex.z-dn.net/?f=%5CLarge%202%5E%7B3%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B2%5E3%7D%20%3D%20%5Cleft%28%5Csqrt%5B4%5D%7B2%7D%5Cright%29%5E3)
or in this case,
![\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5](https://tex.z-dn.net/?f=%5CLarge%20t%5E%7B5%2F8%7D%20%3D%20%5Csqrt%5B8%5D%7Bt%5E5%7D%20%3D%20%5Cleft%28%5Csqrt%5B8%5D%7Bt%7D%5Cright%29%5E5)
The decimal form is x=1.2 and the mixed number is x= 1 1/5
Answer:
Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.
Step-by-step explanation:
This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.
A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)
In the exposed example we know that 89.5 = 80 + 9 + 0.5.
(80/10) + (9/10) + (0.5/10) =
8 + 0.9 + 0.05=
8.95
89.5/10 = 8.95
Answer:
Step-by-step explanation:
width=√(130²-120²)=√[10²(13²-12²)]=10√(13+12)(13-12)=10√(1×25)=10×5=50 m
perimeter=2(120+50)=2×170=340 m
area=120×50=6000 m²