3(9.18) raise to power 1.12

asked by guest
on Jan 21, 2025 at 9:58 pm



You asked:

Evaluate the expression: 3⋅9.181.123 \cdot {9.18}^{1.12}

MathBot Answer:

3⋅9.181.12=1377⋅459325⋅8000000000000000000025500≈35.933958149348121471435739380273513 \cdot {9.18}^{1.12} = \frac{1377 \cdot 459^{\frac{3}{25}} \cdot \sqrt[25]{80000000000000000000}}{500} \approx 35.93395814934812147143573938027351

3⋅9.181.12=3⋅(9+18100)1+12100=3⋅(9+950)1+12100=3⋅(45950)1+12100=3⋅(45950)1+325=3⋅(45950)2825=3⋅459500⋅459325⋅8000000000000000000025=1377500⋅459325⋅8000000000000000000025\begin{aligned}3 \cdot {9.18}^{1.12}&=3 \cdot \left(9 + \frac{18}{100}\right)^{1 + \frac{12}{100}}\\&=3 \cdot \left(9 + \frac{9}{50}\right)^{1 + \frac{12}{100}}\\&=3 \cdot \left(\frac{459}{50}\right)^{1 + \frac{12}{100}}\\&=3 \cdot \left(\frac{459}{50}\right)^{1 + \frac{3}{25}}\\&=3 \cdot \left(\frac{459}{50}\right)^{\frac{28}{25}}\\&=3 \cdot \frac{459}{500} \cdot 459^{\frac{3}{25}} \cdot \sqrt[25]{80000000000000000000}\\&=\frac{1377}{500} \cdot 459^{\frac{3}{25}} \cdot \sqrt[25]{80000000000000000000}\end{aligned}

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