Question

Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power

Answer 1

Note that

`(x^(a))^(b) = x^(ab) \\ x^(a+b)=x^(a).x^(b)`

Therefore

`( (6^(5))/(7^(3)) )^(2) \\= (6^(10))/(7^(6)) \\ = (6^(6).6^(4))/(7^(6)) \\ =6^(4)( (6)/(7))^(6) \\ = 1296( (6)/(7) )^(6)`

Answer:
`1296( (6)/(7) )^(6)`