Solve (5^{6}+5^4):5^4+7^8:7^8

$$( 5 ^ { 6 } + 5 ^ { 4 } ) : 5 ^ { 4 } + 7 ^ { 8 } : 7 ^ { 8 }$$

Evaluate

$$27$$

Solution Steps

Divide 7^{8} by 7^{8} to get 1.

$$\frac{5^{6}+5^{4}}{5^{4}}+1$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{15625+5^{4}}{5^{4}}+1$$

Calculate 5 to the power of 4 and get 625.

$$\frac{15625+625}{5^{4}}+1$$

Add 15625 and 625 to get 16250.

$$\frac{16250}{5^{4}}+1$$

Calculate 5 to the power of 4 and get 625.

$$\frac{16250}{625}+1$$

Divide 16250 by 625 to get 26.

$$26+1$$

Add 26 and 1 to get 27.

$$27$$

Factor

$$3^{3}$$