Solve 5*5*5*5*5*5*5*5*5*5*5*5*5^2

$$5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times { 5 }^{ 2 }$$

Evaluate

$$6103515625$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$5^{3}\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5$$

Calculate 5 to the power of 3 and get 125.

$$125\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5$$

Multiply 125 and 5 to get 625.

$$625\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5$$

Multiply 625 and 5 to get 3125.

$$3125\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5$$

Multiply 3125 and 5 to get 15625.

$$15625\times 5\times 5\times 5\times 5\times 5\times 5\times 5\times 5$$

Multiply 15625 and 5 to get 78125.

$$78125\times 5\times 5\times 5\times 5\times 5\times 5\times 5$$

Multiply 78125 and 5 to get 390625.

$$390625\times 5\times 5\times 5\times 5\times 5\times 5$$

Multiply 390625 and 5 to get 1953125.

$$1953125\times 5\times 5\times 5\times 5\times 5$$

Multiply 1953125 and 5 to get 9765625.

$$9765625\times 5\times 5\times 5\times 5$$

Multiply 9765625 and 5 to get 48828125.

$$48828125\times 5\times 5\times 5$$

Multiply 48828125 and 5 to get 244140625.

$$244140625\times 5\times 5$$

Multiply 244140625 and 5 to get 1220703125.

$$1220703125\times 5$$

Multiply 1220703125 and 5 to get 6103515625.

$$6103515625$$

Factor

$$5^{14}$$