Solve (522*(6.02x10^23))div56

$$(522 \times (6.02x { 10 }^{ 23 } )) \div 56$$

Evaluate

$$5611500000000000000000000x$$

Solution Steps

Multiply 522 and 6.02 to get 3142.44.

$$\frac{3142.44x\times 10^{23}}{56}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{3142.44x\times 100000000000000000000000}{56}$$

Multiply 3142.44 and 100000000000000000000000 to get 314244000000000000000000000.

$$\frac{314244000000000000000000000x}{56}$$

Divide 314244000000000000000000000x by 56 to get 5611500000000000000000000x.

$$5611500000000000000000000x$$

Differentiate w.r.t. x

$$5611500000000000000000000$$

Steps Using Definition of a Derivative

Multiply 522 and 6.02 to get 3142.44.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3142.44x\times 10^{23}}{56})$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3142.44x\times 100000000000000000000000}{56})$$

Multiply 3142.44 and 100000000000000000000000 to get 314244000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{314244000000000000000000000x}{56})$$

Divide 314244000000000000000000000x by 56 to get 5611500000000000000000000x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5611500000000000000000000x)$$

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

$$5611500000000000000000000x^{1-1}$$

Subtract 1 from 1.

$$5611500000000000000000000x^{0}$$

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

$$5611500000000000000000000\times 1$$

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

$$5611500000000000000000000$$