Solve 40^7/(25+2)*3/4

$$\frac { 40 ^ { 7 } } { ( 25 + 2 ) \times 3 / 4 }$$

Evaluate

$$\frac{655360000000}{81}\approx 8090864197.530864198$$

Solution Steps

Calculate 40 to the power of 7 and get 163840000000.

$$\frac{163840000000}{\left(25+2\right)\times \frac{3}{4}}$$

Add 25 and 2 to get 27.

$$\frac{163840000000}{27\times \frac{3}{4}}$$

Express 27\times \frac{3}{4} as a single fraction.

$$\frac{163840000000}{\frac{27\times 3}{4}}$$

Multiply 27 and 3 to get 81.

$$\frac{163840000000}{\frac{81}{4}}$$

Divide 163840000000 by \frac{81}{4} by multiplying 163840000000 by the reciprocal of \frac{81}{4}.

$$163840000000\times \frac{4}{81}$$

Express 163840000000\times \frac{4}{81} as a single fraction.

$$\frac{163840000000\times 4}{81}$$

Multiply 163840000000 and 4 to get 655360000000.

$$\frac{655360000000}{81}$$

Factor

$$\frac{2 ^ {23} \cdot 5 ^ {7}}{3 ^ {4}} = 8090864197\frac{43}{81} = 8090864197.530864$$