Solve {l}{text{(2)}(4)^3text{(2)}(4)^27text{(3)}(4)^12}{text(1)^12}

$$\left. \begin{array} { l } { \text { (2) } ( 4 ) ^ { 3 } \text { (2) } ( 4 ) ^ { 27 } \text { (3) } ( 4 ) ^ { 12 } } \\ { \text { (1) } ^ { 12 } } \end{array} \right.$$

Sort

$$1,232113757366008801543585792$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 27 to get 30.

$$sort(2\times 4^{30}\times 2\times 3\times 4^{12},1^{12})$$

To multiply powers of the same base, add their exponents. Add 30 and 12 to get 42.

$$sort(2\times 4^{42}\times 2\times 3,1^{12})$$

Calculate 4 to the power of 42 and get 19342813113834066795298816.

$$sort(2\times 19342813113834066795298816\times 2\times 3,1^{12})$$

Multiply 2 and 19342813113834066795298816 to get 38685626227668133590597632.

$$sort(38685626227668133590597632\times 2\times 3,1^{12})$$

Multiply 38685626227668133590597632 and 2 to get 77371252455336267181195264.

$$sort(77371252455336267181195264\times 3,1^{12})$$

Multiply 77371252455336267181195264 and 3 to get 232113757366008801543585792.

$$sort(232113757366008801543585792,1^{12})$$

Calculate 1 to the power of 12 and get 1.

$$sort(232113757366008801543585792,1)$$

To sort the list, start from a single element 232113757366008801543585792.

$$232113757366008801543585792$$

Insert 1 to the appropriate location in the new list.

$$1,232113757366008801543585792$$

Evaluate

$$232113757366008801543585792,\ 1$$