Question

what integer is equivalent to 25^3/2

Answer 1

Remove the negative exponent by rewriting 25-3/2
As 1/25^3/2 then simplify the denominator and you'll have
1/125

These are the to ways you can write it
Exact form
1/125
Or you can do decimal form
0.008
Hope I helped if so mark me as brainliest

Answer 2

Answer:

$25^{\frac{3}{2}}=125$

Step-by-step explanation:

Given : Expression $25^{\frac{3}{2}}$

To find : What integer is equivalent to expression ?

Solution :

Expression $25^{\frac{3}{2}}$

We can write 25 as $5^2$

So, $25^{\frac{3}{2}}=(5^2)^{\frac{3}{2}}$

We know, $(x^a)^b=x^{ab}$

$25^{\frac{3}{2}}=(5)^{\frac{3\times 2}{2}}$

$25^{\frac{3}{2}}=(5)^{3}$

$25^{\frac{3}{2}}=125$

Therefore, $25^{\frac{3}{2}}=125$