Write 5^3 x √5 as a single power of 5

√5 = 5^(1/2)

Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:

1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)

That is so true, i can’t believe how true this is