Solve 9^12*(-3^8)div{left((-left(9^3right)^2*81right)}^2

$${ 9 }^{ 12 } \times (- { 3 }^{ 8 } ) \div { \left((- { \left( { 9 }^{ 3 } \right) }^{ 2 } \times 81 \right) }^{ 2 }$$

Evaluate

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Solution Steps

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

$$\frac{9^{12}\left(-3^{8}\right)}{\left(\left(-9^{6}\right)\times 81\right)^{2}}$$

Calculate 9 to the power of 12 and get 282429536481.

$$\frac{282429536481\left(-3^{8}\right)}{\left(\left(-9^{6}\right)\times 81\right)^{2}}$$

Calculate 3 to the power of 8 and get 6561.

$$\frac{282429536481\left(-6561\right)}{\left(\left(-9^{6}\right)\times 81\right)^{2}}$$

Multiply 282429536481 and -6561 to get -1853020188851841.

$$\frac{-1853020188851841}{\left(\left(-9^{6}\right)\times 81\right)^{2}}$$

Calculate 9 to the power of 6 and get 531441.

$$\frac{-1853020188851841}{\left(-531441\times 81\right)^{2}}$$

Multiply -531441 and 81 to get -43046721.

$$\frac{-1853020188851841}{\left(-43046721\right)^{2}}$$

Calculate -43046721 to the power of 2 and get 1853020188851841.

$$\frac{-1853020188851841}{1853020188851841}$$

Divide -1853020188851841 by 1853020188851841 to get -1.

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Factor

$$-1$$