Solve 3^3-3^2-3^7/3*3^

$$\frac{ { 3 }^{ 3 } - { 3 }^{ 2 } - { 3 }^{ 7 } }{ 3 \times { 3 }^{ } }$$

Evaluate

$$-241$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.

$$\frac{3^{3}-3^{2}-3^{7}}{3^{2}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{27-3^{2}-3^{7}}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{27-9-3^{7}}{3^{2}}$$

Subtract 9 from 27 to get 18.

$$\frac{18-3^{7}}{3^{2}}$$

Calculate 3 to the power of 7 and get 2187.

$$\frac{18-2187}{3^{2}}$$

Subtract 2187 from 18 to get -2169.

$$\frac{-2169}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{-2169}{9}$$

Divide -2169 by 9 to get -241.

$$-241$$

Factor

$$-241$$