Solve (pi^{4})^{2}+(x^2)^4-x(x^2)^2

$$( \pi ^ { 4 } ) ^ { 2 } + ( x ^ { 2 } ) ^ { 4 } - x ( x ^ { 2 } ) ^ { 2 }$$

Evaluate

$$x^{8}-x^{5}+\pi ^{8}$$

Solution Steps

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

$$\pi ^{8}+\left(x^{2}\right)^{4}-x\left(x^{2}\right)^{2}$$

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

$$\pi ^{8}+x^{8}-x\left(x^{2}\right)^{2}$$

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

$$\pi ^{8}+x^{8}-xx^{4}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\pi ^{8}+x^{8}-x^{5}$$

Differentiate w.r.t. x

$$\left(8x^{3}-5\right)x^{4}$$