Question

(7200)^5n/(36)^15n simplify​

Answer 1

Answer:

(25/162)^5n

Step-by-step explanation:

Breaking the number (7200)5n as,

(7200)^5n=(2*36*100)5n

According to the problem,

(2*36*100)5n/(36)^15n

=2^5n*36^5n*100^5n/36^15

According to the law of indices powers powers of the denominator will be subtracted from the numerator of same base

So,

2^5n*36^5n-15n*100^15n

=2^5n*36^-10*100^15n

=2^5n*100^15n/36^10n

Now taking 5n as common

=(2*100)5n/(36^2)5n

Again taking common from numerator and denominator

=(200/36*36)5n

=(25/162)5n