Solve d[(-7)^3]^0

$$d [ ( - 7 ) ^ { 3 } ] ^ { 0 }$$

Evaluate

$$d$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 0 to get 0.

$$d\left(-7\right)^{0}$$

Calculate -7 to the power of 0 and get 1.

$$d\times 1$$

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

$$d$$

Differentiate w.r.t. d

$$1$$

Steps Using Definition of a Derivative

To raise a power to another power, multiply the exponents. Multiply 3 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}d}(d\left(-7\right)^{0})$$

Calculate -7 to the power of 0 and get 1.

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

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

$$d^{1-1}$$

Subtract 1 from 1.

$$d^{0}$$

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

$$1$$