400 / (1+0.04) 11^{11}

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on Mar 18, 2025 at 5:35 am



You asked:

Evaluate the expression: 400(1+0.04)11\frac{400}{{\left( 1 + 0.04 \right)}^{11}}

MathBot Answer:

400(1+0.04)11=59604644775390625229396530436736≈259.83237262530725250775943197035795\frac{400}{{\left( 1 + 0.04 \right)}^{11}} = \frac{59604644775390625}{229396530436736} \approx 259.83237262530725250775943197035795

400(1+0.04)11=400(1+125)11=400(2625)11=40036703444869877762384185791015625=59604644775390625229396530436736\begin{aligned}\frac{400}{{\left( 1 + 0.04 \right)}^{11}}&=\frac{400}{{\left( 1 + \frac{1}{25} \right)}^{11}}\\&=\frac{400}{{\left( \frac{26}{25} \right)}^{11}}\\&=\frac{400}{\frac{3670344486987776}{2384185791015625}}\\&=\frac{59604644775390625}{229396530436736}\end{aligned}

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