Solve 10*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15*1.15=

$$10 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15 \times 1.15=$$

Evaluate

$$761.4353775030380811360477230454249895942988805472850799560546875$$

Solution Steps

Multiply 10 and 1.15 to get 11.5.

$$11.5\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 11.5 and 1.15 to get 13.225.

$$13.225\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 13.225 and 1.15 to get 15.20875.

$$15.20875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 15.20875 and 1.15 to get 17.4900625.

$$17.4900625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 17.4900625 and 1.15 to get 20.113571875.

$$20.113571875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 20.113571875 and 1.15 to get 23.13060765625.

$$23.13060765625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 23.13060765625 and 1.15 to get 26.6001988046875.

$$26.6001988046875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 26.6001988046875 and 1.15 to get 30.590228625390625.

$$30.590228625390625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 30.590228625390625 and 1.15 to get 35.17876291919921875.

$$35.17876291919921875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 35.17876291919921875 and 1.15 to get 40.4555773570791015625.

$$40.4555773570791015625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 40.4555773570791015625 and 1.15 to get 46.523913960640966796875.

$$46.523913960640966796875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 46.523913960640966796875 and 1.15 to get 53.50250105473711181640625.

$$53.50250105473711181640625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 53.50250105473711181640625 and 1.15 to get 61.5278762129476785888671875.

$$61.5278762129476785888671875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 61.5278762129476785888671875 and 1.15 to get 70.757057644889830377197265625.

$$70.757057644889830377197265625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 70.757057644889830377197265625 and 1.15 to get 81.37061629162330493377685546875.

$$81.37061629162330493377685546875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 81.37061629162330493377685546875 and 1.15 to get 93.5762087353668006738433837890625.

$$93.5762087353668006738433837890625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 93.5762087353668006738433837890625 and 1.15 to get 107.612640045671820774919891357421875.

$$107.612640045671820774919891357421875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 107.612640045671820774919891357421875 and 1.15 to get 123.75453605252259389115787506103515625.

$$123.75453605252259389115787506103515625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 123.75453605252259389115787506103515625 and 1.15 to get 142.3177164604009829748315563201904296875.

$$142.3177164604009829748315563201904296875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 142.3177164604009829748315563201904296875 and 1.15 to get 163.665373929461130421056289768218994140625.

$$163.665373929461130421056289768218994140625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 163.665373929461130421056289768218994140625 and 1.15 to get 188.21518001888029998421473323345184326171875.

$$188.21518001888029998421473323345184326171875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 188.21518001888029998421473323345184326171875 and 1.15 to get 216.4474570217123449818469432184696197509765625.

$$216.4474570217123449818469432184696197509765625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 216.4474570217123449818469432184696197509765625 and 1.15 to get 248.914575574969196729123984701240062713623046875.

$$248.914575574969196729123984701240062713623046875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 248.914575574969196729123984701240062713623046875 and 1.15 to get 286.25176191121457623849258240642607212066650390625.

$$286.25176191121457623849258240642607212066650390625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 286.25176191121457623849258240642607212066650390625 and 1.15 to get 329.1895261978967626742664697673899829387664794921875.

$$329.1895261978967626742664697673899829387664794921875\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 329.1895261978967626742664697673899829387664794921875 and 1.15 to get 378.567955127581277075406440232498480379581451416015625.

$$378.567955127581277075406440232498480379581451416015625\times 1.15\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 378.567955127581277075406440232498480379581451416015625 and 1.15 to get 435.35314839671846863671740626737325243651866912841796875.

$$435.35314839671846863671740626737325243651866912841796875\times 1.15\times 1.15\times 1.15\times 1.15$$

Multiply 435.35314839671846863671740626737325243651866912841796875 and 1.15 to get 500.6561206562262389322250172074792403019964694976806640625.

$$500.6561206562262389322250172074792403019964694976806640625\times 1.15\times 1.15\times 1.15$$

Multiply 500.6561206562262389322250172074792403019964694976806640625 and 1.15 to get 575.754538754660174772058769788601126347295939922332763671875.

$$575.754538754660174772058769788601126347295939922332763671875\times 1.15\times 1.15$$

Multiply 575.754538754660174772058769788601126347295939922332763671875 and 1.15 to get 662.11771956785920098786758525689129529939033091068267822265625.

$$662.11771956785920098786758525689129529939033091068267822265625\times 1.15$$

Multiply 662.11771956785920098786758525689129529939033091068267822265625 and 1.15 to get 761.4353775030380811360477230454249895942988805472850799560546875.

$$761.4353775030380811360477230454249895942988805472850799560546875$$

Factor

$$\frac{23 ^ {31}}{2 ^ {61} \cdot 5 ^ {30}} = 761\frac{9.3496606848129 \times 10^{38}}{2.147483648 \times 10^{39}} = 761.435377503038$$