Solve 3^2*3/frac{7^3{3}}

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

Evaluate

$$\frac{81}{343}\approx 0.236151603$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{3^{3}}{\frac{7^{3}}{3}}$$

Calculate 3 to the power of 3 and get 27.

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

Calculate 7 to the power of 3 and get 343.

$$\frac{27}{\frac{343}{3}}$$

Divide 27 by \frac{343}{3} by multiplying 27 by the reciprocal of \frac{343}{3}.

$$27\times \frac{3}{343}$$

Express 27\times \frac{3}{343} as a single fraction.

$$\frac{27\times 3}{343}$$

Multiply 27 and 3 to get 81.

$$\frac{81}{343}$$

Factor

$$\frac{3 ^ {4}}{7 ^ {3}} = 0.23615160349854228$$