Solve 6^6+6^6+6^6+6^6+{6}^6+{6}^6

$${ 6 }^{ 6 } + { 6 }^{ 6 } + { 6 }^{ 6 } + { 6 }^{ 6 } + { 6 }^{ 6 } + { 6 }^{ 6 }$$

Evaluate

$$279936$$

Solution Steps

Calculate 6 to the power of 6 and get 46656.

$$46656+6^{6}+6^{6}+6^{6}+6^{6}+6^{6}$$

Calculate 6 to the power of 6 and get 46656.

$$46656+46656+6^{6}+6^{6}+6^{6}+6^{6}$$

Add 46656 and 46656 to get 93312.

$$93312+6^{6}+6^{6}+6^{6}+6^{6}$$

Calculate 6 to the power of 6 and get 46656.

$$93312+46656+6^{6}+6^{6}+6^{6}$$

Add 93312 and 46656 to get 139968.

$$139968+6^{6}+6^{6}+6^{6}$$

Calculate 6 to the power of 6 and get 46656.

$$139968+46656+6^{6}+6^{6}$$

Add 139968 and 46656 to get 186624.

$$186624+6^{6}+6^{6}$$

Calculate 6 to the power of 6 and get 46656.

$$186624+46656+6^{6}$$

Add 186624 and 46656 to get 233280.

$$233280+6^{6}$$

Calculate 6 to the power of 6 and get 46656.

$$233280+46656$$

Add 233280 and 46656 to get 279936.

$$279936$$

Factor

$$2^{7}\times 3^{7}$$