X^9/7/x^5/7=..................

x^(9/7 - 5/7) = x^(4/7)

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its quite simple if you know this basic rule that if the base of powers are same then in case of division powers are subtracted and in case of multiplication powers are added.

so here 5/7 is subtracted from 9/7
ie 9/7 - 5/7 = 4/7

solution is as follows

x^(9/7) / x^(5/7) = x^( 9/7 - 5/7)
hence answer is
x^(4/7)

According to the PEDMAS convention for order and priority of mathematical operations:

x^9/7/x^5/7 = (((x^9)/7)/x^5)/7 = (x^9)/(7x^5)/7 = (x^9)/(x^5) = x^4

If that's not what you meant, you should use parentheses to group the operations according to your intent.