Solve (140000*129/12)^30

$$( 140000 \times \frac { 129 } { 12 } ) ^ { 30 }$$

Evaluate

$$211882455781129882373002219339371583322094463007670979035942337168528846465982496738433837890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Solution Steps

Reduce the fraction \frac{129}{12} to lowest terms by extracting and canceling out 3.

$$\left(140000\times \frac{43}{4}\right)^{30}$$

Multiply 140000 and \frac{43}{4} to get 1505000.

$$1505000^{30}$$

Calculate 1505000 to the power of 30 and get 211882455781129882373002219339371583322094463007670979035942337168528846465982496738433837890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$211882455781129882373002219339371583322094463007670979035942337168528846465982496738433837890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Factor

$$2^{90}\times 5^{120}\times 7^{30}\times 43^{30}$$