Answer:
0.64
Step-by-step explanation:
Find the number in the hundredth place 4 and look one place to the right for the rounding digit 1
. Round up if this number is greater than or equal to 5 and round down if it is less than 5
.
Answer:
Simplified base would be 3∛4
Step-by-step explanation:
Given exponential function,
![f(x)=\frac{1}{4}(\sqrt[3]{108})^x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B108%7D%29%5Ex)
Since, in an exponential function 
b is called base.
∵ 108 = 2 × 2 × 3 × 3 × 3,
Or 108 = 4 × 3³,
![\implies \sqrt[3]{108} = \sqrt[3]{4\times 3^3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B3%5D%7B108%7D%20%3D%20%5Csqrt%5B3%5D%7B4%5Ctimes%203%5E3%7D)
( Using
)
![\sqrt[3]{108}=\sqrt[3]{4}\times (3^3)^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B108%7D%3D%5Csqrt%5B3%5D%7B4%7D%5Ctimes%20%283%5E3%29%5E%5Cfrac%7B1%7D%7B3%7D)
( Using power of power property of exponent )
![\sqrt[3]{108}=3\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B108%7D%3D3%5Csqrt%5B3%5D%7B4%7D)
Hence, the required simplified base would be 3∛4
i.e. SECOND option is correct.
Answer:
c
Step-by-step explanation:
Let the angles be x
We are taking both angles as x because they are equal!




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