Solve 2n^2*n/(n^2*n)^3

$$\frac { 2 n ^ { 2 } \cdot n } { ( n ^ { 2 } \cdot n ) ^ { 3 } }$$

Evaluate

$$\frac{2}{n^{6}}$$

Solution Steps

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

$$\frac{2n^{3}}{\left(n^{2}n\right)^{3}}$$

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

$$\frac{2n^{3}}{\left(n^{3}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{2n^{3}}{n^{9}}$$

Cancel out n^{3} in both numerator and denominator.

$$\frac{2}{n^{6}}$$

Expand

$$\frac{2}{n^{6}}$$

Solution Steps

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

$$\frac{2n^{3}}{\left(n^{2}n\right)^{3}}$$

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

$$\frac{2n^{3}}{\left(n^{3}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{2n^{3}}{n^{9}}$$

Cancel out n^{3} in both numerator and denominator.

$$\frac{2}{n^{6}}$$