Solve (1-2*54/6^2)^100

$$( 1 - 2 \times \frac { 54 } { 6 ^ { 2 } } ) ^ { 100 }$$

Evaluate

$$1267650600228229401496703205376$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\left(1-2\times \frac{54}{36}\right)^{100}$$

Reduce the fraction \frac{54}{36} to lowest terms by extracting and canceling out 18.

$$\left(1-2\times \frac{3}{2}\right)^{100}$$

Multiply 2 and \frac{3}{2} to get 3.

$$\left(1-3\right)^{100}$$

Subtract 3 from 1 to get -2.

$$\left(-2\right)^{100}$$

Calculate -2 to the power of 100 and get 1267650600228229401496703205376.

$$1267650600228229401496703205376$$

Factor

$$2^{100}$$