Solve 7^3/120*21/3

$$\frac { 7 ^ { 3 } } { 120 } \cdot 2 \frac { 1 } { 3 }$$

Evaluate

$$\frac{2401}{360}\approx 6.669444444$$

Solution Steps

Calculate 7 to the power of 3 and get 343.

$$\frac{343}{120}\times \frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{343}{120}\times \frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{343}{120}\times \frac{7}{3}$$

Multiply \frac{343}{120} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{343\times 7}{120\times 3}$$

Do the multiplications in the fraction \frac{343\times 7}{120\times 3}.

$$\frac{2401}{360}$$

Factor

$$\frac{7 ^ {4}}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 6\frac{241}{360} = 6.669444444444444$$