Solve x(13^2*2^2)^0=

$$x ( 13 ^ { 2 } \cdot 2 ^ { 2 } ) ^ { 0 } =$$

Evaluate

$$x$$

Solution Steps

Calculate 13 to the power of 2 and get 169.

$$x\times \left(169\times 2^{2}\right)^{0}$$

Calculate 2 to the power of 2 and get 4.

$$x\times \left(169\times 4\right)^{0}$$

Multiply 169 and 4 to get 676.

$$x\times 676^{0}$$

Calculate 676 to the power of 0 and get 1.

$$x\times 1$$

For any term t, t\times 1=t and 1t=t.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Calculate 13 to the power of 2 and get 169.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \left(169\times 2^{2}\right)^{0})$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \left(169\times 4\right)^{0})$$

Multiply 169 and 4 to get 676.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 676^{0})$$

Calculate 676 to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 1)$$

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$