Question

Which expression is equivalent to (3 squared) Superscript negative 2? –81 –12 StartFraction 1 Over 81 EndFraction One-twelfth

Answer 1

Answer:

The correct option is:

1/81

Step-by-step explanation:

The given expression to us is:

(3²)⁻²

In this expression, the two powers, which are 2 and -2, are multiplying with each other, we can write it as:

(3)⁻⁴

Now we know that a negative power of a number can be converted into a positive power one if we take reciprocal of the given number.

It can be written as:

(1/3)⁴

Further simplify the expression:

1/81

Thus the correct choice from the given options is:

1 over 81 or 1/81