Question

The values of m, n respectively, if 108 = 2m ×

33 × 5n, are :​

Answer 1

Answer:

if m = 18 then n = (1/55) vice versa.

Step-by-step explanation:

108 = 2m × 33 × 5n

m × n = 108/(2×33×5)

m × n = 108/(330) = 54/165 = 18/55

m × n = 18 × (1/55)

if m = 18 then n = (1/55) vice versa.

Answer 2

Given: The given equation is 108 = 2m × 33 × 5n

To find: We have to find out the value of m and n.

Solution:

The given expression of m and n is-

108 = 2m × 33 × 5n

The value of mn will be-

$108 = 2m \times 33 \times 5n \\54= m \times 33 \times 5n \\ 18 = m \times 11 \times 5n \\ mn = 18 \times \frac{1}{55}$

So, the multiple result of m and n is

$18 \times \frac{1}{55}$

Thus either the value of m is 18 and the value of n is $\dfrac{1}{55}$ or the value of m is $\dfrac{1}{55}$ and value of n is 18.