Question

Helppppp..... evaluate 3^-3=

Answer 1

For this case we must evaluate the following expression:

`3 ^ {3}`

We have by definition of properties of powers that:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Then, rewriting the expression:

`3 ^ {- 3} = \frac {1} {3 ^ 3} = \frac {1} {27}`

ANswer:

`3 ^ {- 3} = \frac {1} {27}`

OptionB

Answer 2

The answer is

B

`(1)/(27)`

Step-by-step explanation

The given expression is

`{3}^( - 3)`

Use the negative index property;

`{a}^( - m) = \frac{1}{ {a}^(m) }`

We apply this property to get:

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

This gives us:

`{3}^( - 3) = (1)/(3 * 3 * 3 )`

`{3}^( - 3) = (1)/(27)`

The correct option is B.