Solve left(3+0.01right)^4-3^4/0.01

$$\frac{ { \left(3+0.01 \right) }^{ 4 } - { 3 }^{ 4 } }{ 0.01 }$$

Evaluate

$$108.541201$$

Solution Steps

Add 3 and 0.01 to get 3.01.

$$\frac{3.01^{4}-3^{4}}{0.01}$$

Calculate 3.01 to the power of 4 and get 82.08541201.

$$\frac{82.08541201-3^{4}}{0.01}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{82.08541201-81}{0.01}$$

Subtract 81 from 82.08541201 to get 1.08541201.

$$\frac{1.08541201}{0.01}$$

Expand \frac{1.08541201}{0.01} by multiplying both numerator and the denominator by 100000000.

$$\frac{108541201}{1000000}$$

Factor

$$\frac{313 \cdot 577 \cdot 601}{2 ^ {6} \cdot 5 ^ {6}} = 108\frac{541201}{1000000} = 108.541201$$