Question

Which expression is equivalent to

Answer 1

1/81

Explanation:

Remember:

b^-n = 1/b^n

Then

[(3^2)]^-2 = 1/[9^2]

1/81

Best regards

Answer 2

The correct answer option is
`\frac { 1 } { 81 }`.

Explanation:

We are given the following expression and we are to find out whether which of the given answer options is equivalent to this expression:

`( 3 ^ 2 ) ^ { - 2 }`

We know the rule for solving the exponents:

`( b ^ n ) ^ { m } = b ^ { n \cdot m}`

This means that the exponents are multiplied with each other.

So, if we multiply them, for the given expression we get:

`( 3 ) ^ { - 4 }` =
`\frac { 1 } { 3 ^ 4 } = \frac { 1 } { 81 }`