Answer:
[tex]\huge\boxed{\sqrt{25^{3}}}[/tex]
Step-by-step explanation:
When we have a number to a fraction power, we need to note that
- It's the same as taking the denominator root of the base to the numerator power
Basically, for example, [tex]5^{\frac{1}{2}}[/tex] is the same as [tex]\sqrt{5}[/tex] since the numerator is 1 ([tex]5^1 = 5[/tex]) and the denominator is 2 ([tex]\sqrt{5}[/tex]).
Applying this same logic to [tex]25^{\frac{3}{2}}[/tex] -
[tex]25^{3}[/tex]
[tex]\sqrt{25^3}[/tex]
Hope this helped!
