Solve 10^8r+10^7r

$$10 ^ { 8 } r + 10 ^ { 7 } r$$

Evaluate

$$110000000r$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$100000000r+10^{7}r$$

Calculate 10 to the power of 7 and get 10000000.

$$100000000r+10000000r$$

Combine 100000000r and 10000000r to get 110000000r.

$$110000000r$$

Differentiate w.r.t. r

$$110000000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\mathrm{d}}{\mathrm{d}r}(100000000r+10^{7}r)$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\mathrm{d}}{\mathrm{d}r}(100000000r+10000000r)$$

Combine 100000000r and 10000000r to get 110000000r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(110000000r)$$

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

$$110000000r^{1-1}$$

Subtract 1 from 1.

$$110000000r^{0}$$

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

$$110000000\times 1$$

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

$$110000000$$