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

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

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

b

2

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b

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3

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7

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14

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6

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3

b

3

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7

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14

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6

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step-by-step explanation: