Solve 2a^{6}-a^{2}*a^4+(2a^4)^2diva^4

$$2 a ^ { 6 } - a ^ { 2 } \cdot a ^ { 4 } + ( 2 a ^ { 4 } ) ^ { 2 } \div a ^ { 4 }$$

Evaluate

$$\left(a^{2}+4\right)a^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$2a^{6}-a^{6}+\frac{\left(2a^{4}\right)^{2}}{a^{4}}$$

Combine 2a^{6} and -a^{6} to get a^{6}.

$$a^{6}+\frac{\left(2a^{4}\right)^{2}}{a^{4}}$$

Expand \left(2a^{4}\right)^{2}.

$$a^{6}+\frac{2^{2}\left(a^{4}\right)^{2}}{a^{4}}$$

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

$$a^{6}+\frac{2^{2}a^{8}}{a^{4}}$$

Calculate 2 to the power of 2 and get 4.

$$a^{6}+\frac{4a^{8}}{a^{4}}$$

Cancel out a^{4} in both numerator and denominator.

$$a^{6}+4a^{4}$$

Expand

$$a^{6}+4a^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$2a^{6}-a^{6}+\frac{\left(2a^{4}\right)^{2}}{a^{4}}$$

Combine 2a^{6} and -a^{6} to get a^{6}.

$$a^{6}+\frac{\left(2a^{4}\right)^{2}}{a^{4}}$$

Expand \left(2a^{4}\right)^{2}.

$$a^{6}+\frac{2^{2}\left(a^{4}\right)^{2}}{a^{4}}$$

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

$$a^{6}+\frac{2^{2}a^{8}}{a^{4}}$$

Calculate 2 to the power of 2 and get 4.

$$a^{6}+\frac{4a^{8}}{a^{4}}$$

Cancel out a^{4} in both numerator and denominator.

$$a^{6}+4a^{4}$$