Question

write as the power of 5 in simplest form:

5 sqrt(5)
1/ 4 sqrt(5)
25^a+3

Answer 1

5sqrt(5)=sqrt125
sqrt(5/16)
(25^a)*(25^3)

Answer 2

\[5\sqrt{5}= 5\cdot 5^{\frac{1}{2}}= 5^{\frac{3}{2}}\]
Can you do (1/4) sqrt(5) ?
25 is 5^2 so
\[ 25^{(a+3)}= (5^2)^{(a+3)}\]
can you simplify the last even more??