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

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

Evaluate

$$-107.461199$$

Solution Steps

Add -3 and 0.01 to get -2.99.

$$\frac{\left(-2.99\right)^{4}-\left(-3\right)^{4}}{0.01}$$

Calculate -2.99 to the power of 4 and get 79.92538801.

$$\frac{79.92538801-\left(-3\right)^{4}}{0.01}$$

Calculate -3 to the power of 4 and get 81.

$$\frac{79.92538801-81}{0.01}$$

Subtract 81 from 79.92538801 to get -1.07461199.

$$\frac{-1.07461199}{0.01}$$

Expand \frac{-1.07461199}{0.01} by multiplying both numerator and the denominator by 100000000.

$$\frac{-107461199}{1000000}$$

Fraction \frac{-107461199}{1000000} can be rewritten as -\frac{107461199}{1000000} by extracting the negative sign.

$$-\frac{107461199}{1000000}$$

Factor

$$-107.461199$$