Answer:
125.
Step-by-step explanation:
We are asked to find the integer equivalent to [tex]25^{\frac{3}{2}}[/tex].
We can rewrite 25 as [tex]5^2[/tex].
[tex](5^2)^{\frac{3}{2}}[/tex]
Using exponent property [tex](a^{b})^c=a^{b\times c}[/tex], we will get:
[tex](5^2)^{\frac{3}{2}}=5^{2^\times\frac{3}{2}}[/tex]
[tex](5^2)^{\frac{3}{2}}=5^{3}[/tex]
[tex](5^2)^{\frac{3}{2}}=125[/tex]
Therefore, 125 is equivalent to our given number.
