Solve (-9)^2div3^3(6)+[3(-2)-5(-3)]

$$( - 9 ) ^ { 2 } \div 3 ^ { 3 } ( 6 ) + [ 3 ( - 2 ) - 5 ( - 3 ) ]$$

Evaluate

$$27$$

Solution Steps

Calculate -9 to the power of 2 and get 81.

$$\frac{81}{3^{3}}\times 6+3\left(-2\right)-5\left(-3\right)$$

Calculate 3 to the power of 3 and get 27.

$$\frac{81}{27}\times 6+3\left(-2\right)-5\left(-3\right)$$

Divide 81 by 27 to get 3.

$$3\times 6+3\left(-2\right)-5\left(-3\right)$$

Multiply 3 and 6 to get 18.

$$18+3\left(-2\right)-5\left(-3\right)$$

Multiply 3 and -2 to get -6.

$$18+-6-5\left(-3\right)$$

Multiply 5 and -3 to get -15.

$$18+-6-\left(-15\right)$$

The opposite of -15 is 15.

$$18-6+15$$

Add -6 and 15 to get 9.

$$18+9$$

Add 18 and 9 to get 27.

$$27$$

Factor

$$3^{3}$$