Question

Which expression is equivalent to

Answer 1

Answer:

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

Step-by-step 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:

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

Answer 2

Answer:

1/81

Step-by-step explanation:

Remember:

b^-n = 1/b^n

Then

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

1/81

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