Question

If 1176=2^m×3^n×7^p find the value of m,n and p then find the value 2^m ×18^n×5^p​

Answer 1

Answer:

m=3, n=1 and p=2

2^m*18^n*5^p = 3600

Step-by-step explanation:

   7 | 1176

       ---------

    7 | 168

        -------

    3 | 24

        -------

     2 | 8

         ------

     2 | 4

        -----

          2

So 1176 can be written as 2^3*3^1*7^2

Hence m=3, n=1 and p=2

Therefore, 2^m*18^n*5^p = 2^3*18^1*5^2

                                            = 8*18*25

                                           = 3600