Solve (7-4)^3*2+(-3-9)div(-1+3)^2

$$( 7 - 4 ) ^ { 3 } \times 2 + ( - 3 - 9 ) \div ( - 1 + 3 ) ^ { 2 }$$

Evaluate

$$51$$

Solution Steps

Subtract 4 from 7 to get 3.

$$3^{3}\times 2+\frac{-3-9}{\left(-1+3\right)^{2}}$$

Calculate 3 to the power of 3 and get 27.

$$27\times 2+\frac{-3-9}{\left(-1+3\right)^{2}}$$

Multiply 27 and 2 to get 54.

$$54+\frac{-3-9}{\left(-1+3\right)^{2}}$$

Subtract 9 from -3 to get -12.

$$54+\frac{-12}{\left(-1+3\right)^{2}}$$

Add -1 and 3 to get 2.

$$54+\frac{-12}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$54+\frac{-12}{4}$$

Divide -12 by 4 to get -3.

$$54-3$$

Subtract 3 from 54 to get 51.

$$51$$

Factor

$$3\times 17$$