Leysa {left(-10/21right)}^13*{left(-14/25right)}^15

$${ \left(- \frac{ 10 }{ 21 } \right) }^{ 13 } \times { \left(- \frac{ 14 }{ 25 } \right) }^{ 15 }$$

Meta

$$\frac{13153337344}{1216371917724609375}\approx 0.000000011$$

Lausnarskref

Reiknaðu -\frac{10}{21} í 13. veldi og fáðu -\frac{10000000000000}{154472377739119461}.

$$-\frac{10000000000000}{154472377739119461}\left(-\frac{14}{25}\right)^{15}$$

Reiknaðu -\frac{14}{25} í 15. veldi og fáðu -\frac{155568095557812224}{931322574615478515625}.

$$-\frac{10000000000000}{154472377739119461}\left(-\frac{155568095557812224}{931322574615478515625}\right)$$

Margfaldaðu -\frac{10000000000000}{154472377739119461} sinnum -\frac{155568095557812224}{931322574615478515625} með því að margfalda teljara sinnum teljara og samnefnara sinnum samnefnara.

$$\frac{-10000000000000\left(-155568095557812224\right)}{154472377739119461\times 931322574615478515625}$$

Margfaldaðu í brotinu \frac{-10000000000000\left(-155568095557812224\right)}{154472377739119461\times 931322574615478515625}.

$$\frac{1555680955578122240000000000000}{143863612542971466667950153350830078125}$$

Minnka brotið \frac{1555680955578122240000000000000}{143863612542971466667950153350830078125} eins mikið og hægt er með því að draga og stytta út 118272717781982421875.

$$\frac{13153337344}{1216371917724609375}$$

Stuðull

$$\frac{2 ^ {28} \cdot 7 ^ {2}}{3 ^ {13} \cdot 5 ^ {17}} = 1.0813581892456976 \times 10^{-8}$$