Solve (0,125)^15é

$$( 0,125 ) ^ { 15 } é$$

Differentiate w.r.t. é

$$0,000000000000028421709430404007434844970703125$$

Steps Using Definition of a Derivative

Calculate 0,125 to the power of 15 and get 0,000000000000028421709430404007434844970703125.

$$\frac{\mathrm{d}}{\mathrm{d}é}(0,000000000000028421709430404007434844970703125é)$$

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

$$0,000000000000028421709430404007434844970703125é^{1-1}$$

Subtract 1 from 1.

$$0,000000000000028421709430404007434844970703125é^{0}$$

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

$$0,000000000000028421709430404007434844970703125\times 1$$

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

$$0,000000000000028421709430404007434844970703125$$

Evaluate

$$\frac{é}{35184372088832}$$

Solution Steps

Calculate 0,125 to the power of 15 and get 0,000000000000028421709430404007434844970703125.

$$0,000000000000028421709430404007434844970703125é$$