Solve 3^303-2*27^2-35

$$3 ^ { 303 - 2 } \times 27 ^ { 2 - 35 }$$

Evaluate

$$2390525899882872924049031898322016641463101073880550463771174655651832418111719646949462291396009$$

Solution Steps

Subtract 2 from 303 to get 301.

$$3^{301}\times 27^{2-35}$$

Calculate 3 to the power of 301 and get 410674437175765127973978082146264947899391086876012309414440570235106991532497229781400618467066824164751453321793982128440538198297087323698003.

$$410674437175765127973978082146264947899391086876012309414440570235106991532497229781400618467066824164751453321793982128440538198297087323698003\times 27^{2-35}$$

Subtract 35 from 2 to get -33.

$$410674437175765127973978082146264947899391086876012309414440570235106991532497229781400618467066824164751453321793982128440538198297087323698003\times 27^{-33}$$

Calculate 27 to the power of -33 and get \frac{1}{171792506910670443678820376588540424234035840667}.

$$410674437175765127973978082146264947899391086876012309414440570235106991532497229781400618467066824164751453321793982128440538198297087323698003\times \frac{1}{171792506910670443678820376588540424234035840667}$$

Multiply 410674437175765127973978082146264947899391086876012309414440570235106991532497229781400618467066824164751453321793982128440538198297087323698003 and \frac{1}{171792506910670443678820376588540424234035840667} to get 2390525899882872924049031898322016641463101073880550463771174655651832418111719646949462291396009.

$$2390525899882872924049031898322016641463101073880550463771174655651832418111719646949462291396009$$

Factor

$$3^{202}$$