Solve 9796875*[2,5+1/25]^3

$$9796875 \times [ \frac { 2,5 + 1 } { 25 } ] ^ { 3 }$$

Evaluate

$$26882,625$$

Solution Steps

Add 2,5 and 1 to get 3,5.

$$9796875\times \left(\frac{3,5}{25}\right)^{3}$$

Expand \frac{3,5}{25} by multiplying both numerator and the denominator by 10.

$$9796875\times \left(\frac{35}{250}\right)^{3}$$

Reduce the fraction \frac{35}{250} to lowest terms by extracting and canceling out 5.

$$9796875\times \left(\frac{7}{50}\right)^{3}$$

Calculate \frac{7}{50} to the power of 3 and get \frac{343}{125000}.

$$9796875\times \frac{343}{125000}$$

Multiply 9796875 and \frac{343}{125000} to get \frac{215061}{8}.

$$\frac{215061}{8}$$

Factor

$$\frac{3 \cdot 11 \cdot 19 \cdot 7 ^ {3}}{2 ^ {3}} = 26882\frac{5}{8} = 26882.625$$