Answer: 9 in
Step-by-step explanation:
The answer to this question is not rational
X = (2^2)^(2.5)
<span>x = 2^(2 * 2.5) </span>
<span>x = 2^5 </span>
<span>x = 32
</span>y^(-3/2) = 125
<span>y^(-3) = 125^2 </span>
<span>y^(-3) = (5^3)^2 </span>
<span>y^(-3) = (5^2)^3 </span>
<span>y^(-3) = 25^3 </span>
<span>y = 25^(-1) </span>
<span>y = 1/25 </span>
<span>x/y => </span>
<span>32 / (1/25) => </span>
<span>32 * 25 => </span>
<span>800 is the simplest form of above
</span>
In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=
and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. 
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