Solve ((100/0.01)+100)^29

$$( ( \frac { 100 } { 0.01 } ) + 100 ) ^ { 29 }$$

Evaluate

$$133450387656723331741140826862354209590830042099287580629010000000000000000000000000000000000000000000000000000000000$$

Solution Steps

Expand \frac{100}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$\left(10000+100\right)^{29}$$

Add 10000 and 100 to get 10100.

$$10100^{29}$$

Calculate 10100 to the power of 29 and get 133450387656723331741140826862354209590830042099287580629010000000000000000000000000000000000000000000000000000000000.

$$133450387656723331741140826862354209590830042099287580629010000000000000000000000000000000000000000000000000000000000$$

Factor

$$2^{58}\times 5^{58}\times 101^{29}$$