What is the value of the expression? 92÷(−3)0 −27 3 27 81

For this case we have the following expression:
 
 The first thing you should know for this case, is that by power properties we have:
 Every number raised to zero is equal to unity.
 We then have to rewrite the expression:
 
 
 
 The given expression is equal to:
 
 option 4.

Since the expression is not clear, the choices might be - 27 or 81 depending on the expression (see below for detailed explanation)

Justification:

1) If expression to evaluate is 9² ÷ (- 3)

2) In that case, the dividend is: 9² = 81

3) So, the division is 81 ÷ (-3) = - 27.

Remember the law of the signs: the division of opposite signs gives a negative result, while the division of equal signs gives a positive result.

4) If the expression to evaluate is 9² ÷ (- 3)⁰

5) 9² = 81, and (-3)⁰ = 1

6) In this case the division becomes 81 ÷ 1 = 81

It is the top one. the answer is -7. that is smallest