Solve 35left(27^8+29^11right)/15left(81^6-123^19right)

$$\frac{ 35 \left( { 27 }^{ 8 } +2 { 9 }^{ 11 } \right) }{ 15 \left( { 81 }^{ 6 } -12 { 3 }^{ 19 } \right) }$$

Evaluate

$$3$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{7\left(2\times 9^{11}+27^{8}\right)}{3\left(81^{6}-12\times 3^{19}\right)}$$

Calculate 9 to the power of 11 and get 31381059609.

$$\frac{7\left(2\times 31381059609+27^{8}\right)}{3\left(81^{6}-12\times 3^{19}\right)}$$

Multiply 2 and 31381059609 to get 62762119218.

$$\frac{7\left(62762119218+27^{8}\right)}{3\left(81^{6}-12\times 3^{19}\right)}$$

Calculate 27 to the power of 8 and get 282429536481.

$$\frac{7\left(62762119218+282429536481\right)}{3\left(81^{6}-12\times 3^{19}\right)}$$

Add 62762119218 and 282429536481 to get 345191655699.

$$\frac{7\times 345191655699}{3\left(81^{6}-12\times 3^{19}\right)}$$

Multiply 7 and 345191655699 to get 2416341589893.

$$\frac{2416341589893}{3\left(81^{6}-12\times 3^{19}\right)}$$

Calculate 81 to the power of 6 and get 282429536481.

$$\frac{2416341589893}{3\left(282429536481-12\times 3^{19}\right)}$$

Calculate 3 to the power of 19 and get 1162261467.

$$\frac{2416341589893}{3\left(282429536481-12\times 1162261467\right)}$$

Multiply 12 and 1162261467 to get 13947137604.

$$\frac{2416341589893}{3\left(282429536481-13947137604\right)}$$

Subtract 13947137604 from 282429536481 to get 268482398877.

$$\frac{2416341589893}{3\times 268482398877}$$

Multiply 3 and 268482398877 to get 805447196631.

$$\frac{2416341589893}{805447196631}$$

Divide 2416341589893 by 805447196631 to get 3.

$$3$$

Factor

$$3$$