Solve (11*11^3:11^2)-5^2

$$( 11 \cdot 11 ^ { 3 } : 11 ^ { 2 } ) - 5 ^ { 2 }$$

Evaluate

$$96$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

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

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 4 to get 2.

$$11^{2}-5^{2}$$

Calculate 11 to the power of 2 and get 121.

$$121-5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$121-25$$

Subtract 25 from 121 to get 96.

$$96$$

Factor

$$2^{5}\times 3$$