Solve {l}{m=3^4*5^3}{n=3^3*5^2*11}{text{FindtheLowestCo}}

$$\left. \begin{array} { l } { m = 3 ^ { 4 } \times 5 ^ { 3 } } \\ { n = 3 ^ { 3 } \times 5 ^ { 2 } \times 11 } \\ { \text { Find the Lowest Co } } \end{array} \right.$$

Solve for m, n

$$m=10125$$

$$n=7425$$

Solution Steps

Consider the first equation. Calculate 3 to the power of 4 and get 81.

$$m=81\times 5^{3}$$

Calculate 5 to the power of 3 and get 125.

$$m=81\times 125$$

Multiply 81 and 125 to get 10125.

$$m=10125$$

Consider the second equation. Calculate 3 to the power of 3 and get 27.

$$n=27\times 5^{2}\times 11$$

Calculate 5 to the power of 2 and get 25.

$$n=27\times 25\times 11$$

Multiply 27 and 25 to get 675.

$$n=675\times 11$$

Multiply 675 and 11 to get 7425.

$$n=7425$$

The system is now solved.

$$m=10125 n=7425$$