Solve (81^6)^4:(9^6)^8

$$( 81 ^ { 6 } ) ^ { 4 } : ( 9 ^ { 6 } ) ^ { 8 }$$

Evaluate

$$1$$

Solution Steps

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

$$\frac{81^{24}}{\left(9^{6}\right)^{8}}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 8 to get 48.

$$\frac{81^{24}}{9^{48}}$$

Calculate 81 to the power of 24 and get 6362685441135942358474828762538534230890216321.

$$\frac{6362685441135942358474828762538534230890216321}{9^{48}}$$

Calculate 9 to the power of 48 and get 6362685441135942358474828762538534230890216321.

$$\frac{6362685441135942358474828762538534230890216321}{6362685441135942358474828762538534230890216321}$$

Divide 6362685441135942358474828762538534230890216321 by 6362685441135942358474828762538534230890216321 to get 1.

$$1$$

Factor

$$1$$