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What integer is equivalent to 25^3/2

2 Answers

7 votes
The answer is 125.  Hope this helps you. 
User Joe Hany
by
6.7k points
7 votes

Answer:

125.

Explanation:

We are asked to find the integer equivalent to
25^{(3)/(2)}.

We can rewrite 25 as
5^2.


(5^2)^{(3)/(2)}

Using exponent property
(a^(b))^c=a^(b* c), we will get:


(5^2)^{(3)/(2)}=5^{2^*(3)/(2)}


(5^2)^{(3)/(2)}=5^(3)


(5^2)^{(3)/(2)}=125

Therefore, 125 is equivalent to our given number.

User Ghini Antonio
by
7.8k points