Solve (-7)^2*3^3div(-3)^4

$$( - 7 ) ^ { 2 } \times 3 ^ { 3 } \div ( - 3 ) ^ { 4 }$$

Evaluate

$$\frac{49}{3}\approx 16.333333333$$

Solution Steps

Calculate -7 to the power of 2 and get 49.

$$\frac{49\times 3^{3}}{\left(-3\right)^{4}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{49\times 27}{\left(-3\right)^{4}}$$

Multiply 49 and 27 to get 1323.

$$\frac{1323}{\left(-3\right)^{4}}$$

Calculate -3 to the power of 4 and get 81.

$$\frac{1323}{81}$$

Reduce the fraction \frac{1323}{81} to lowest terms by extracting and canceling out 27.

$$\frac{49}{3}$$

Factor

$$\frac{7 ^ {2}}{3} = 16\frac{1}{3} = 16.333333333333332$$