Solve frac{35^{4}*14^{5}*(-1)^3}{10^4*(-49)^4*11^0}=

$$\frac { 35 ^ { 4 } \cdot 14 ^ { 5 } \cdot ( - 1 ) ^ { 3 } } { 10 ^ { 4 } \cdot ( - 49 ) ^ { 4 } \cdot 11 ^ { 0 } } =$$

Evaluate

$$-14$$

Solution Steps

Calculate 35 to the power of 4 and get 1500625.

$$\frac{1500625\times 14^{5}\left(-1\right)^{3}}{10^{4}\left(-49\right)^{4}\times 11^{0}}$$

Calculate 14 to the power of 5 and get 537824.

$$\frac{1500625\times 537824\left(-1\right)^{3}}{10^{4}\left(-49\right)^{4}\times 11^{0}}$$

Multiply 1500625 and 537824 to get 807072140000.

$$\frac{807072140000\left(-1\right)^{3}}{10^{4}\left(-49\right)^{4}\times 11^{0}}$$

Calculate -1 to the power of 3 and get -1.

$$\frac{807072140000\left(-1\right)}{10^{4}\left(-49\right)^{4}\times 11^{0}}$$

Multiply 807072140000 and -1 to get -807072140000.

$$\frac{-807072140000}{10^{4}\left(-49\right)^{4}\times 11^{0}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{-807072140000}{10000\left(-49\right)^{4}\times 11^{0}}$$

Calculate -49 to the power of 4 and get 5764801.

$$\frac{-807072140000}{10000\times 5764801\times 11^{0}}$$

Multiply 10000 and 5764801 to get 57648010000.

$$\frac{-807072140000}{57648010000\times 11^{0}}$$

Calculate 11 to the power of 0 and get 1.

$$\frac{-807072140000}{57648010000\times 1}$$

Multiply 57648010000 and 1 to get 57648010000.

$$\frac{-807072140000}{57648010000}$$

Divide -807072140000 by 57648010000 to get -14.

$$-14$$

Factor

$$-14$$