Solve 2^3/6^3quad3^3/7^3

$$\frac { 2 ^ { 3 } } { 6 ^ { 3 } } \quad \frac { 3 ^ { 3 } } { 7 ^ { 3 } }$$

Evaluate

$$\frac{1}{343}\approx 0.002915452$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{8}{6^{3}}\times \frac{3^{3}}{7^{3}}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{8}{216}\times \frac{3^{3}}{7^{3}}$$

Reduce the fraction \frac{8}{216} to lowest terms by extracting and canceling out 8.

$$\frac{1}{27}\times \frac{3^{3}}{7^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{1}{27}\times \frac{27}{7^{3}}$$

Calculate 7 to the power of 3 and get 343.

$$\frac{1}{27}\times \frac{27}{343}$$

Multiply \frac{1}{27} times \frac{27}{343} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27}{27\times 343}$$

Cancel out 27 in both numerator and denominator.

$$\frac{1}{343}$$

Factor

$$\frac{1}{7 ^ {3}} = 0.0029154518950437317$$