Solve frac{(3^{2})^6*3^13}{(-3^4)^5}

$$\frac { ( 3 ^ { 2 } ) ^ { 6 } \cdot 3 ^ { 13 } } { ( - 3 ^ { 4 } ) ^ { 5 } }$$

Evaluate

$$-243$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 6 to get 12.

$$\frac{3^{12}\times 3^{13}}{\left(-3^{4}\right)^{5}}$$

To multiply powers of the same base, add their exponents. Add 12 and 13 to get 25.

$$\frac{3^{25}}{\left(-3^{4}\right)^{5}}$$

Calculate 3 to the power of 25 and get 847288609443.

$$\frac{847288609443}{\left(-3^{4}\right)^{5}}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{847288609443}{\left(-81\right)^{5}}$$

Calculate -81 to the power of 5 and get -3486784401.

$$\frac{847288609443}{-3486784401}$$

Divide 847288609443 by -3486784401 to get -243.

$$-243$$

Factor

$$-243$$