Solve 11^5-11^4/11*11^2

$$\frac { 11 ^ { 5 } - 11 ^ { 4 } } { 11 \cdot 11 ^ { 2 } }$$

Evaluate

$$110$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{11^{5}-11^{4}}{11^{3}}$$

Calculate 11 to the power of 5 and get 161051.

$$\frac{161051-11^{4}}{11^{3}}$$

Calculate 11 to the power of 4 and get 14641.

$$\frac{161051-14641}{11^{3}}$$

Subtract 14641 from 161051 to get 146410.

$$\frac{146410}{11^{3}}$$

Calculate 11 to the power of 3 and get 1331.

$$\frac{146410}{1331}$$

Divide 146410 by 1331 to get 110.

$$110$$

Factor

$$2\times 5\times 11$$