Solve frac{((-6)^{2}*(-6)^{4})^3}{(-2)^2*3^2}*(-6)^0=

$$\frac { ( ( - 6 ) ^ { 2 } \times ( - 6 ) ^ { 4 } ) ^ { 3 } } { ( - 2 ) ^ { 2 } \times 3 ^ { 2 } } \times ( - 6 ) ^ { 0 } =$$

Evaluate

$$2821109907456$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{\left(\left(-6\right)^{6}\right)^{3}}{\left(-2\right)^{2}\times 3^{2}}\left(-6\right)^{0}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 3 to get 18.

$$\frac{\left(-6\right)^{18}}{\left(-2\right)^{2}\times 3^{2}}\left(-6\right)^{0}$$

Calculate -6 to the power of 18 and get 101559956668416.

$$\frac{101559956668416}{\left(-2\right)^{2}\times 3^{2}}\left(-6\right)^{0}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{101559956668416}{4\times 3^{2}}\left(-6\right)^{0}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{101559956668416}{4\times 9}\left(-6\right)^{0}$$

Multiply 4 and 9 to get 36.

$$\frac{101559956668416}{36}\left(-6\right)^{0}$$

Divide 101559956668416 by 36 to get 2821109907456.

$$2821109907456\left(-6\right)^{0}$$

Calculate -6 to the power of 0 and get 1.

$$2821109907456\times 1$$

Multiply 2821109907456 and 1 to get 2821109907456.

$$2821109907456$$

Factor

$$2^{16}\times 3^{16}$$