Solve 2.50*(6.02x10^23)div1

$$2.50 \times (6.02x { 10 }^{ 23 } ) \div 1$$

Evaluate

$$1505000000000000000000000x$$

Solution Steps

Multiply 2.5 and 6.02 to get 15.05.

$$\frac{15.05x\times 10^{23}}{1}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{15.05x\times 100000000000000000000000}{1}$$

Multiply 15.05 and 100000000000000000000000 to get 1505000000000000000000000.

$$\frac{1505000000000000000000000x}{1}$$

Anything divided by one gives itself.

$$1505000000000000000000000x$$

Differentiate w.r.t. x

$$1505000000000000000000000$$

Steps Using Definition of a Derivative

Multiply 2.5 and 6.02 to get 15.05.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15.05x\times 10^{23}}{1})$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15.05x\times 100000000000000000000000}{1})$$

Multiply 15.05 and 100000000000000000000000 to get 1505000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1505000000000000000000000x}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1505000000000000000000000x)$$

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

$$1505000000000000000000000x^{1-1}$$

Subtract 1 from 1.

$$1505000000000000000000000x^{0}$$

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

$$1505000000000000000000000\times 1$$

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

$$1505000000000000000000000$$