Question

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

−27

3

​27​

81

Answer 1

Answer: 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

Answer 2

For this case we have the following expression:

`(9^2)/((-3)^0)`
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:

`(81)/(1)`

`81`
Answer:
The given expression is equal to:

`81`
option 4.