Solve (-3)^5*2^4*8/-2^7*(-9)^2*18

$$\frac { ( - 3 ) ^ { 5 } \times 2 ^ { 4 } \times 8 } { - 2 ^ { 7 } \times ( - 9 ) ^ { 2 } \times 18 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{4\left(-3\right)^{5}\times 2^{4}}{9\left(-2^{7}\right)\left(-9\right)^{2}}$$

Calculate -3 to the power of 5 and get -243.

$$\frac{4\left(-243\right)\times 2^{4}}{9\left(-2^{7}\right)\left(-9\right)^{2}}$$

Multiply 4 and -243 to get -972.

$$\frac{-972\times 2^{4}}{9\left(-2^{7}\right)\left(-9\right)^{2}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{-972\times 16}{9\left(-2^{7}\right)\left(-9\right)^{2}}$$

Multiply -972 and 16 to get -15552.

$$\frac{-15552}{9\left(-2^{7}\right)\left(-9\right)^{2}}$$

Calculate 2 to the power of 7 and get 128.

$$\frac{-15552}{9\left(-128\right)\left(-9\right)^{2}}$$

Multiply 9 and -128 to get -1152.

$$\frac{-15552}{-1152\left(-9\right)^{2}}$$

Calculate -9 to the power of 2 and get 81.

$$\frac{-15552}{-1152\times 81}$$

Multiply -1152 and 81 to get -93312.

$$\frac{-15552}{-93312}$$

Reduce the fraction \frac{-15552}{-93312} to lowest terms by extracting and canceling out -15552.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$