Solve yleft(-4x^-3right)^0left(-4x^3right)^2

$$y { \left(-4 { x }^{ -3 } \right) }^{ 0 } { \left(-4 { x }^{ 3 } \right) }^{ 2 }$$

Evaluate

$$16yx^{6}$$

Solution Steps

Calculate -4x^{-3} to the power of 0 and get 1.

$$y\times 1\left(-4x^{3}\right)^{2}$$

Expand \left(-4x^{3}\right)^{2}.

$$y\times 1\left(-4\right)^{2}\left(x^{3}\right)^{2}$$

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

$$y\times 1\left(-4\right)^{2}x^{6}$$

Calculate -4 to the power of 2 and get 16.

$$y\times 1\times 16x^{6}$$

Multiply 1 and 16 to get 16.

$$y\times 16x^{6}$$

Differentiate w.r.t. x

$$96yx^{5}$$