Answer: ![\bold{8\sqrt[5]{8} }](https://tex.z-dn.net/?f=%5Cbold%7B8%5Csqrt%5B5%5D%7B8%7D%20%7D)
<u>Step-by-step explanation:</u>
![64^{\frac{3}{5}}\\\\=2^{6(\frac{3}{5})}\\\\=2^{\frac{18}{5}}\\\\=2^{\frac{15}{5}}\cdot 2^{\frac{3}{5}}\\\\=2^3\cdot \sqrt[5]{2^3} \\\\=\boxed{8\sqrt[5]{8} }](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E%7B6%28%5Cfrac%7B3%7D%7B5%7D%29%7D%5C%5C%5C%5C%3D2%5E%7B%5Cfrac%7B18%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E%7B%5Cfrac%7B15%7D%7B5%7D%7D%5Ccdot%202%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E3%5Ccdot%20%5Csqrt%5B5%5D%7B2%5E3%7D%20%5C%5C%5C%5C%3D%5Cboxed%7B8%5Csqrt%5B5%5D%7B8%7D%20%7D)
Answer:
8
Step-by-step explanation:
The function u given me is

The period of a function is represented by

where b is the coefficient of the x variable.
The coefficient is pi/4 so

8 is the answer.
Answer:
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
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