rational exponents vs radical sign

[Kitkatnesser]

I am trying to figure out if I did this problem right or not.
*Give an example of an equation easier to solve as a rational exponent rather than a radical sign.
Rational exponent:
7^4 + 7^2 = 49^6

Radical sign
9^√(48^15)
48^(15/9)
49^6

This shows that the rational exponent is easier to solve than the radical sign.

Does this make sense and is this correct?[/code]

 

[Denis]

49^6 = 13,841,287,201 ; so that answers your question :shock:

For your info: y^4 times 7^2 = 7^6 ; rule: a^x * a^y = a^(x+y)

Not much can be done with y^4 + 7^2; you can always do this:
7^2 * y^2 + 7^2 = 7^2(7^2 + 1) ... but doesn't accomplish much