64/1/16**1/2+64/1/1/1/16**(1/2)+64/2*16**1/2

asked by guest
on Oct 08, 2024 at 11:26 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{64}{1}}{{16}^{1}}}{2} + \frac{\frac{\frac{\frac{64}{1}}{1}}{1}}{{16}^{\frac{1}{2}}} + \frac{\frac{64}{2} \cdot {16}^{1}}{2}\)

MathBot Answer:

\[\frac{\frac{\frac{64}{1}}{{16}^{1}}}{2} + \frac{\frac{\frac{\frac{64}{1}}{1}}{1}}{{16}^{\frac{1}{2}}} + \frac{\frac{64}{2} \cdot {16}^{1}}{2} = 274\]

\[\begin{aligned}\frac{\frac{\frac{64}{1}}{{16}^{1}}}{2} + \frac{\frac{\frac{\frac{64}{1}}{1}}{1}}{{16}^{\frac{1}{2}}} + \frac{\frac{64}{2} \cdot {16}^{1}}{2}& = 64 \cdot \frac{1}{16^{1}} \cdot \frac{1}{2} + 64 \cdot \frac{1}{\sqrt{16}} + \frac{64}{2} \cdot 16^{1} \cdot \frac{1}{2}\\& = \frac{64}{16} \cdot \frac{1}{2} + 64 \cdot \frac{1}{\sqrt{16}} + \frac{64}{2} \cdot 16^{1} \cdot \frac{1}{2}\\& = \frac{64}{32} + 64 \cdot \frac{1}{\sqrt{16}} + \frac{64}{2} \cdot 16^{1} \cdot \frac{1}{2}\\& = 2 + 64 \cdot \frac{1}{\sqrt{16}} + \frac{64}{2} \cdot 16^{1} \cdot \frac{1}{2}\\& = 2 + \frac{64}{4} + \frac{64}{2} \cdot 16^{1} \cdot \frac{1}{2}\\& = 2 + 16 + \frac{64}{2} \cdot 16^{1} \cdot \frac{1}{2}\\& = 2 + 16 + \frac{64}{2} \cdot \frac{16}{2}\\& = 2 + 16 + \frac{64}{2} \cdot 8\\& = 2 + 16 + 256\\& = 18 + 256\\& = 274\end{aligned}\]

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