Solve -2(a^{3})^{4}+a^{4}*(a^4)^2+a^9*a^3

$$- 2 ( a ^ { 3 } ) ^ { 4 } + a ^ { 4 } \cdot ( a ^ { 4 } ) ^ { 2 } + a ^ { 9 } \cdot a ^ { 3 }$$

Evaluate

$$0$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$-2a^{12}+a^{4}\left(a^{4}\right)^{2}+a^{9}a^{3}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$-2a^{12}+a^{4}a^{8}+a^{9}a^{3}$$

To multiply powers of the same base, add their exponents. Add 4 and 8 to get 12.

$$-2a^{12}+a^{12}+a^{9}a^{3}$$

To multiply powers of the same base, add their exponents. Add 9 and 3 to get 12.

$$-2a^{12}+a^{12}+a^{12}$$

Combine -2a^{12} and a^{12} to get -a^{12}.

$$-a^{12}+a^{12}$$

Combine -a^{12} and a^{12} to get 0.

$$0$$

Factor

$$0$$