(4.259 x 10^26) / (3.9 x 10^25)

asked by guest
on Sep 19, 2024 at 5:43 pm



You asked:

Evaluate the expression: \(\frac{4.259 \cdot {10}^{26}}{3.9 \cdot {10}^{25}}\)

MathBot Answer:

\[\frac{4.259 \cdot {10}^{26}}{3.9 \cdot {10}^{25}} = \frac{4259}{390} = 10.9\overline{205128}\]

\[\begin{aligned}\frac{4.259 \cdot {10}^{26}}{3.9 \cdot {10}^{25}}& = \left(4 + \frac{259}{1000}\right) \cdot 10^{26} \cdot \frac{1}{\left(3 + \frac{9}{10}\right) \cdot 10^{25}}\\& = \frac{4259}{1000} \cdot 10^{26} \cdot \frac{1}{\left(3 + \frac{9}{10}\right) \cdot 10^{25}}\\& = \frac{4259}{1000} \cdot 100000000000000000000000000 \cdot \frac{1}{\left(3 + \frac{9}{10}\right) \cdot 10^{25}}\\& = \frac{4259}{1000} \cdot 100000000000000000000000000 \cdot \frac{1}{\frac{39}{10} \cdot 10^{25}}\\& = \frac{4259}{1000} \cdot 100000000000000000000000000 \cdot \frac{1}{\frac{39}{10} \cdot 10000000000000000000000000}\\& = \frac{4259}{1000} \cdot \frac{100000000000000000000000000}{39000000000000000000000000}\\& = \frac{4259}{1000} \cdot \frac{100}{39}\\& = \frac{4259}{390}\end{aligned}\]

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