Solve 48:(25-4+2)^3:2:9

$$48 : ( 25 - 4 + 2 ) ^ { 3 } : 2 : 9$$

Evaluate

$$\frac{8}{36501}\approx 0.000219172$$

Solution Steps

Express \frac{\frac{\frac{48}{\left(25-4+2\right)^{3}}}{2}}{9} as a single fraction.

$$\frac{\frac{48}{\left(25-4+2\right)^{3}}}{2\times 9}$$

Subtract 4 from 25 to get 21.

$$\frac{\frac{48}{\left(21+2\right)^{3}}}{2\times 9}$$

Add 21 and 2 to get 23.

$$\frac{\frac{48}{23^{3}}}{2\times 9}$$

Calculate 23 to the power of 3 and get 12167.

$$\frac{\frac{48}{12167}}{2\times 9}$$

Multiply 2 and 9 to get 18.

$$\frac{\frac{48}{12167}}{18}$$

Express \frac{\frac{48}{12167}}{18} as a single fraction.

$$\frac{48}{12167\times 18}$$

Multiply 12167 and 18 to get 219006.

$$\frac{48}{219006}$$

Reduce the fraction \frac{48}{219006} to lowest terms by extracting and canceling out 6.

$$\frac{8}{36501}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 23 ^ {3}} = 0.00021917207747732938$$