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

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

Laske

$$-\frac{1}{21}\approx -0,047619048$$

Ratkaisun vaiheet

Laske 27 potenssiin 10, jolloin ratkaisuksi tulee 205891132094649.

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

Laske 21 potenssiin 17, jolloin ratkaisuksi tulee 30041942495081691894741.

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

Kerro -205891132094649 ja 30041942495081691894741, niin saadaan -6185369550634713791900436392957340909.

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

Laske 49 potenssiin 9, jolloin ratkaisuksi tulee 1628413597910449.

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

Laske -9 potenssiin 24, jolloin ratkaisuksi tulee 79766443076872509863361.

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

Kerro 1628413597910449 ja 79766443076872509863361, niin saadaan 129892760563328989629909164252104159089.

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

Supista murtoluku \frac{-6185369550634713791900436392957340909}{129892760563328989629909164252104159089} luvulla 6185369550634713791900436392957340909.

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

Jaa tekijöihin

$$-\frac{1}{21} = -0,047619047619047616$$