Solve -27^10*21^17/49^9*(-9)^24

$$\frac { - 27 ^ { 10 } \cdot 21 ^ { 17 } } { 49 ^ { 9 } \cdot ( - 9 ) ^ { 24 } }$$

Evaluate

$$-\frac{1}{21}\approx -0.047619048$$

Solution Steps

Calculate 27 to the power of 10 and get 205891132094649.

$$\frac{-205891132094649\times 21^{17}}{49^{9}\left(-9\right)^{24}}$$

Calculate 21 to the power of 17 and get 30041942495081691894741.

$$\frac{-205891132094649\times 30041942495081691894741}{49^{9}\left(-9\right)^{24}}$$

Multiply -205891132094649 and 30041942495081691894741 to get -6185369550634713791900436392957340909.

$$\frac{-6185369550634713791900436392957340909}{49^{9}\left(-9\right)^{24}}$$

Calculate 49 to the power of 9 and get 1628413597910449.

$$\frac{-6185369550634713791900436392957340909}{1628413597910449\left(-9\right)^{24}}$$

Calculate -9 to the power of 24 and get 79766443076872509863361.

$$\frac{-6185369550634713791900436392957340909}{1628413597910449\times 79766443076872509863361}$$

Multiply 1628413597910449 and 79766443076872509863361 to get 129892760563328989629909164252104159089.

$$\frac{-6185369550634713791900436392957340909}{129892760563328989629909164252104159089}$$

Reduce the fraction \frac{-6185369550634713791900436392957340909}{129892760563328989629909164252104159089} to lowest terms by extracting and canceling out 6185369550634713791900436392957340909.

$$-\frac{1}{21}$$

Factor

$$-\frac{1}{21} = -0.047619047619047616$$