3. which inequalities show a correct relationship between expressions?
a. 32^3 < 16^4
b. 27^3> 81^4
c. 9^3 < 3^5
d. 8^4 > 32^2

a and d

Step-by-step explanation:

First of all, we need to make a analysis of each letters:

a. factoring 32 = 2.2.2.2.2 =

then,

16 =

but

in conclusion that, this inequality is correct

b. 27 =  

this first situation is equal to  

the second situation is:

81 =  

and  

it's a mistake.

c. factoring 9:

<  

it's wrong.

d. factoring 8 =

factoring 32 =  

>  

This is true.

Finally.. our correct answers is a and d.