Solve 15^4*14^2/21^3*10^3

$$\frac { 15 ^ { 4 } \times 14 ^ { 2 } } { 21 ^ { 3 } \times 10 ^ { 3 } }$$

Evaluate

$$\frac{15}{14}\approx 1.071428571$$

Solution Steps

Calculate 15 to the power of 4 and get 50625.

$$\frac{50625\times 14^{2}}{21^{3}\times 10^{3}}$$

Calculate 14 to the power of 2 and get 196.

$$\frac{50625\times 196}{21^{3}\times 10^{3}}$$

Multiply 50625 and 196 to get 9922500.

$$\frac{9922500}{21^{3}\times 10^{3}}$$

Calculate 21 to the power of 3 and get 9261.

$$\frac{9922500}{9261\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{9922500}{9261\times 1000}$$

Multiply 9261 and 1000 to get 9261000.

$$\frac{9922500}{9261000}$$

Reduce the fraction \frac{9922500}{9261000} to lowest terms by extracting and canceling out 661500.

$$\frac{15}{14}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 7} = 1\frac{1}{14} = 1.0714285714285714$$