Solve operatorname{ver}frac{(((-27)^{3})^{2})^3}{(((-3)^2)^3)^4}

$$\operatorname { ver } \frac { ( ( ( - 27 ) ^ { 3 } ) ^ { 2 } ) ^ { 3 } } { ( ( ( - 3 ) ^ { 2 } ) ^ { 3 } ) ^ { 4 } }$$

Evaluate

$$205891132094649erv$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$ver\times \frac{\left(\left(-27\right)^{6}\right)^{3}}{\left(\left(\left(-3\right)^{2}\right)^{3}\right)^{4}}$$

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

$$ver\times \frac{\left(-27\right)^{18}}{\left(\left(\left(-3\right)^{2}\right)^{3}\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$ver\times \frac{\left(-27\right)^{18}}{\left(\left(-3\right)^{6}\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 4 to get 24.

$$ver\times \frac{\left(-27\right)^{18}}{\left(-3\right)^{24}}$$

Calculate -27 to the power of 18 and get 58149737003040059690390169.

$$ver\times \frac{58149737003040059690390169}{\left(-3\right)^{24}}$$

Calculate -3 to the power of 24 and get 282429536481.

$$ver\times \frac{58149737003040059690390169}{282429536481}$$

Divide 58149737003040059690390169 by 282429536481 to get 205891132094649.

$$ver\times 205891132094649$$

Differentiate w.r.t. v

$$205891132094649er$$