Solve frac{6^{12}*(35)^{28}*15^16}{14^12*21^11*5^28}

$$\frac { 6 ^ { 12 } \times ( 35 ) ^ { 28 } \times 15 ^ { 16 } } { 14 ^ { 12 } \times 21 ^ { 11 } \times 5 ^ { 28 } }$$

Evaluate

$$331185717703399658203125$$

Solution Steps

Calculate 6 to the power of 12 and get 2176782336.

$$\frac{2176782336\times 35^{28}\times 15^{16}}{14^{12}\times 21^{11}\times 5^{28}}$$

Calculate 35 to the power of 28 and get 17135833820132164693504609167575836181640625.

$$\frac{2176782336\times 17135833820132164693504609167575836181640625\times 15^{16}}{14^{12}\times 21^{11}\times 5^{28}}$$

Multiply 2176782336 and 17135833820132164693504609167575836181640625 to get 37300980372295097290263687170562744140625000000000000.

$$\frac{37300980372295097290263687170562744140625000000000000\times 15^{16}}{14^{12}\times 21^{11}\times 5^{28}}$$

Calculate 15 to the power of 16 and get 6568408355712890625.

$$\frac{37300980372295097290263687170562744140625000000000000\times 6568408355712890625}{14^{12}\times 21^{11}\times 5^{28}}$$

Multiply 37300980372295097290263687170562744140625000000000000 and 6568408355712890625 to get 245008071153665646777624047555922525026835501194000244140625000000000000.

$$\frac{245008071153665646777624047555922525026835501194000244140625000000000000}{14^{12}\times 21^{11}\times 5^{28}}$$

Calculate 14 to the power of 12 and get 56693912375296.

$$\frac{245008071153665646777624047555922525026835501194000244140625000000000000}{56693912375296\times 21^{11}\times 5^{28}}$$

Calculate 21 to the power of 11 and get 350277500542221.

$$\frac{245008071153665646777624047555922525026835501194000244140625000000000000}{56693912375296\times 350277500542221\times 5^{28}}$$

Multiply 56693912375296 and 350277500542221 to get 19858601922778374502045372416.

$$\frac{245008071153665646777624047555922525026835501194000244140625000000000000}{19858601922778374502045372416\times 5^{28}}$$

Calculate 5 to the power of 28 and get 37252902984619140625.

$$\frac{245008071153665646777624047555922525026835501194000244140625000000000000}{19858601922778374502045372416\times 37252902984619140625}$$

Multiply 19858601922778374502045372416 and 37252902984619140625 to get 739790570839433912264010772705078125000000000000.

$$\frac{245008071153665646777624047555922525026835501194000244140625000000000000}{739790570839433912264010772705078125000000000000}$$

Divide 245008071153665646777624047555922525026835501194000244140625000000000000 by 739790570839433912264010772705078125000000000000 to get 331185717703399658203125.

$$331185717703399658203125$$

Factor

$$3^{17}\times 5^{16}\times 7^{5}$$