Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) 

Thus, the equation is TRUE.
(2) 

Thus, the equation is FALSE.
(3) ![4^{\frac{1}{2} } = \sqrt[4]{64}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%5Csqrt%5B4%5D%7B64%7D)
![4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%20%5Csqrt%7B4%7D%20%3D%202%5C%5C%5C%5C%5Csqrt%5B4%5D%7B64%7D%20%20%3D%20%2864%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%3D%20%282%5E6%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%3D%202%5E%7B%5Cfrac%7B6%7D%7B4%7D%20%7D%20%3D%202%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%3D%28%5Csqrt%7B2%7D%20%29%5E3%20%3D%20%28%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%29%20%3D%202%5Csqrt%7B2%7D)
Thus, the equation is FALSE.
(4) ![2^8 = (\sqrt[3]{16} )^6](https://tex.z-dn.net/?f=2%5E8%20%3D%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6)
![2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256](https://tex.z-dn.net/?f=2%5E8%20%3D%20256%5C%5C%5C%5C%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6%20%3D%20%2816%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%5E4%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%29%5E%7B%5Cfrac%7B24%7D%7B3%7D%20%7D%20%3D%202%5E8%20%3D%20256)
Thus, the equation is TRUE.
(5) 

Thus, the equation is FALSE.
Answer:
Step-by-step explanation:
Step-by-step explanation:
prey and predators depends in each other .in the absence of one another is useless or meaning less. predators is responsible for population of prey.if less predators more prey and more predators means less prey.
Diagonal of a square is √2a
so,
√2 a = 12
a= 12/√2
and.. perimeter of a square is 4a
so,
peri = 4*12/√2
= 48/√2
=33.94cm