Solve 34560{left(1+8/100right)}^3

$$34560 { \left(1+ \frac{ 8 }{ 100 } \right) }^{ 3 }$$

Evaluate

$$\frac{136048896}{3125}=43535.64672$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$34560\left(1+\frac{2}{25}\right)^{3}$$

Add 1 and \frac{2}{25} to get \frac{27}{25}.

$$34560\times \left(\frac{27}{25}\right)^{3}$$

Calculate \frac{27}{25} to the power of 3 and get \frac{19683}{15625}.

$$34560\times \frac{19683}{15625}$$

Multiply 34560 and \frac{19683}{15625} to get \frac{136048896}{3125}.

$$\frac{136048896}{3125}$$

Factor

$$\frac{2 ^ {8} \cdot 3 ^ {12}}{5 ^ {5}} = 43535\frac{2021}{3125} = 43535.64672$$