Solve 63/2*4*6:3^3

$$\frac { 63 } { 2 \times 4 \cdot 6 : 3 ^ { 3 } }$$

Evaluate

$$\frac{567}{16}=35.4375$$

Solution Steps

Divide 63 by \frac{2\times 4\times 6}{3^{3}} by multiplying 63 by the reciprocal of \frac{2\times 4\times 6}{3^{3}}.

$$\frac{63\times 3^{3}}{2\times 4\times 6}$$

Cancel out 3 in both numerator and denominator.

$$\frac{21\times 3^{3}}{2\times 2\times 4}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{21\times 27}{2\times 2\times 4}$$

Multiply 21 and 27 to get 567.

$$\frac{567}{2\times 2\times 4}$$

Multiply 2 and 2 to get 4.

$$\frac{567}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$\frac{567}{16}$$

Factor

$$\frac{3 ^ {4} \cdot 7}{2 ^ {4}} = 35\frac{7}{16} = 35.4375$$