Solve 1^2left(5-1right)^2/4*4^2*2^2*{910}^9

$$\frac{ { 1 }^{ 2 } { \left(5-1 \right) }^{ 2 } }{ 4 \times { 4 }^{ 2 } \times { 2 }^{ 2 } } \times { 910 }^{ 9 }$$

Evaluate

$$26745612508111775687500000$$

Solution Steps

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

$$\frac{1^{2}\left(5-1\right)^{2}}{4^{3}\times 2^{2}}\times 910^{9}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1\left(5-1\right)^{2}}{4^{3}\times 2^{2}}\times 910^{9}$$

Subtract 1 from 5 to get 4.

$$\frac{1\times 4^{2}}{4^{3}\times 2^{2}}\times 910^{9}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{1\times 16}{4^{3}\times 2^{2}}\times 910^{9}$$

Multiply 1 and 16 to get 16.

$$\frac{16}{4^{3}\times 2^{2}}\times 910^{9}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{16}{64\times 2^{2}}\times 910^{9}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{16}{64\times 4}\times 910^{9}$$

Multiply 64 and 4 to get 256.

$$\frac{16}{256}\times 910^{9}$$

Reduce the fraction \frac{16}{256} to lowest terms by extracting and canceling out 16.

$$\frac{1}{16}\times 910^{9}$$

Calculate 910 to the power of 9 and get 427929800129788411000000000.

$$\frac{1}{16}\times 427929800129788411000000000$$

Multiply \frac{1}{16} and 427929800129788411000000000 to get 26745612508111775687500000.

$$26745612508111775687500000$$

Factor

$$2^{5}\times 5^{9}\times 7^{9}\times 13^{9}$$