Solve left(12^912^11right)^0-{left(6^2right)}^3

$${ \left( { 12 }^{ 9 } { 12 }^{ 11 } \right) }^{ 0 } - { \left( { 6 }^{ 2 } \right) }^{ 3 }$$

Evaluate

$$-46655$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 11 to get 20.

$$\left(12^{20}\right)^{0}-\left(6^{2}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply 20 and 0 to get 0.

$$12^{0}-\left(6^{2}\right)^{3}$$

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

$$12^{0}-6^{6}$$

Calculate 12 to the power of 0 and get 1.

$$1-6^{6}$$

Calculate 6 to the power of 6 and get 46656.

$$1-46656$$

Subtract 46656 from 1 to get -46655.

$$-46655$$

Factor

$$-46655$$