Solve 7^4-3^4/6^2-(3-5^2)

$$\frac { 7 ^ { 4 } - 3 ^ { 4 } } { 6 ^ { 2 } - ( 3 - 5 ^ { 2 } ) }$$

Evaluate

$$40$$

Solution Steps

Calculate 7 to the power of 4 and get 2401.

$$\frac{2401-3^{4}}{6^{2}-\left(3-5^{2}\right)}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{2401-81}{6^{2}-\left(3-5^{2}\right)}$$

Subtract 81 from 2401 to get 2320.

$$\frac{2320}{6^{2}-\left(3-5^{2}\right)}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{2320}{36-\left(3-5^{2}\right)}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{2320}{36-\left(3-25\right)}$$

Subtract 25 from 3 to get -22.

$$\frac{2320}{36-\left(-22\right)}$$

The opposite of -22 is 22.

$$\frac{2320}{36+22}$$

Add 36 and 22 to get 58.

$$\frac{2320}{58}$$

Divide 2320 by 58 to get 40.

$$40$$

Factor

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