Solve left(-3+0.1right)^4--3^4/0.1

$$\frac{ { \left(-3+0.1 \right) }^{ 4 } - { -3 }^{ 4 } }{ 0.1 }$$

Evaluate

$$-102.719$$

Solution Steps

Add -3 and 0.1 to get -2.9.

$$\frac{\left(-2.9\right)^{4}-\left(-3\right)^{4}}{0.1}$$

Calculate -2.9 to the power of 4 and get 70.7281.

$$\frac{70.7281-\left(-3\right)^{4}}{0.1}$$

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

$$\frac{70.7281-81}{0.1}$$

Subtract 81 from 70.7281 to get -10.2719.

$$\frac{-10.2719}{0.1}$$

Expand \frac{-10.2719}{0.1} by multiplying both numerator and the denominator by 10000.

$$\frac{-102719}{1000}$$

Fraction \frac{-102719}{1000} can be rewritten as -\frac{102719}{1000} by extracting the negative sign.

$$-\frac{102719}{1000}$$

Factor

$$-102.719$$