Solve varphi(1960)=2^3*5^2*7^2

$$\varphi ( 1960 ) = 2 ^ { 3 } \cdot 5 ^ { 2 } \cdot 7 ^ { 2 }$$

Evaluate

$$9800$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$8\times 5^{2}\times 7^{2}$$

Calculate 5 to the power of 2 and get 25.

$$8\times 25\times 7^{2}$$

Multiply 8 and 25 to get 200.

$$200\times 7^{2}$$

Calculate 7 to the power of 2 and get 49.

$$200\times 49$$

Multiply 200 and 49 to get 9800.

$$9800$$

Factor

$$2^{3}\times 5^{2}\times 7^{2}$$