49 3/2 as a power of 7

Answer 1

change 49 to 7² first. Now you have (7²)^3/2.

Now multiply indices (power of a power rule). 

2 x `3/2` = 3

so you have 7³ as your answer.

Alternatively, if you understand that the fractional part of the power is a root e.g. the 2 in `3/2` means square root, then root of 7² (from the 49) gives 7, leaving 7³ as your answer as before.