Solve 80*left(1+0.05right)^100=

$$80 \times { \left(1+0.05 \right) }^{ 100 } =$$

Evaluate

$$10520.1006277042764020478025674973398528525173839451648833724041901786029100766125475864223216161828399193904719302737962449977979019579644188444025739772932502742730509481816625338979065418243408203125$$

Solution Steps

Add 1 and 0.05 to get 1.05.

$$80\times 1.05^{100}$$

Calculate 1.05 to the power of 100 and get 131.50125784630345502559753209371674816065646729931456104215505237723253637595765684483027902020228549899238089912842245306247247377447455523555503217471616562842841313685227078167372383177280426025390625.

$$80\times 131.50125784630345502559753209371674816065646729931456104215505237723253637595765684483027902020228549899238089912842245306247247377447455523555503217471616562842841313685227078167372383177280426025390625$$

Multiply 80 and 131.50125784630345502559753209371674816065646729931456104215505237723253637595765684483027902020228549899238089912842245306247247377447455523555503217471616562842841313685227078167372383177280426025390625 to get 10520.1006277042764020478025674973398528525173839451648833724041901786029100766125475864223216161828399193904719302737962449977979019579644188444025739772932502742730509481816625338979065418243408203125.

$$10520.1006277042764020478025674973398528525173839451648833724041901786029100766125475864223216161828399193904719302737962449977979019579644188444025739772932502742730509481816625338979065418243408203125$$

Factor

$$\frac{3 ^ {100} \cdot 7 ^ {100}}{2 ^ {196} \cdot 5 ^ {99}} = 10520\frac{1.5945096215551309 \times 10^{127}}{1.5845632502852867 \times 10^{128}} = 10520.100627704276$$