Solve (2(3)-5(3)^4)/4(3)-4

$$\frac { ( 2 ( 3 ) - 5 ( 3 ) ^ { 4 } ) } { 4 ( 3 ) - 4 }$$

Evaluate

$$-\frac{399}{8}=-49.875$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6-5\times 3^{4}}{4\times 3-4}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{6-5\times 81}{4\times 3-4}$$

Multiply 5 and 81 to get 405.

$$\frac{6-405}{4\times 3-4}$$

Subtract 405 from 6 to get -399.

$$\frac{-399}{4\times 3-4}$$

Multiply 4 and 3 to get 12.

$$\frac{-399}{12-4}$$

Subtract 4 from 12 to get 8.

$$\frac{-399}{8}$$

Fraction \frac{-399}{8} can be rewritten as -\frac{399}{8} by extracting the negative sign.

$$-\frac{399}{8}$$

Factor

$$-\frac{399}{8} = -49\frac{7}{8} = -49.875$$