Solve (5^2+1)y(5^4+1)*(5^6+1)/5^16

$$\frac { ( 5 ^ { 2 } + 1 ) y ( 5 ^ { 4 } + 1 ) \times ( 5 ^ { 6 } + 1 ) } { 5 ^ { 16 } }$$

Evaluate

$$\frac{254328776y}{152587890625}$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\left(25+1\right)y\left(5^{4}+1\right)\left(5^{6}+1\right)}{5^{16}}$$

Add 25 and 1 to get 26.

$$\frac{26y\left(5^{4}+1\right)\left(5^{6}+1\right)}{5^{16}}$$

Calculate 5 to the power of 4 and get 625.

$$\frac{26y\left(625+1\right)\left(5^{6}+1\right)}{5^{16}}$$

Add 625 and 1 to get 626.

$$\frac{26y\times 626\left(5^{6}+1\right)}{5^{16}}$$

Multiply 26 and 626 to get 16276.

$$\frac{16276y\left(5^{6}+1\right)}{5^{16}}$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{16276y\left(15625+1\right)}{5^{16}}$$

Add 15625 and 1 to get 15626.

$$\frac{16276y\times 15626}{5^{16}}$$

Multiply 16276 and 15626 to get 254328776.

$$\frac{254328776y}{5^{16}}$$

Calculate 5 to the power of 16 and get 152587890625.

$$\frac{254328776y}{152587890625}$$

Expand

$$\frac{254328776y}{152587890625}$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\left(25+1\right)y\left(5^{4}+1\right)\left(5^{6}+1\right)}{5^{16}}$$

Add 25 and 1 to get 26.

$$\frac{26y\left(5^{4}+1\right)\left(5^{6}+1\right)}{5^{16}}$$

Calculate 5 to the power of 4 and get 625.

$$\frac{26y\left(625+1\right)\left(5^{6}+1\right)}{5^{16}}$$

Add 625 and 1 to get 626.

$$\frac{26y\times 626\left(5^{6}+1\right)}{5^{16}}$$

Multiply 26 and 626 to get 16276.

$$\frac{16276y\left(5^{6}+1\right)}{5^{16}}$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{16276y\left(15625+1\right)}{5^{16}}$$

Add 15625 and 1 to get 15626.

$$\frac{16276y\times 15626}{5^{16}}$$

Multiply 16276 and 15626 to get 254328776.

$$\frac{254328776y}{5^{16}}$$

Calculate 5 to the power of 16 and get 152587890625.

$$\frac{254328776y}{152587890625}$$