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

Question

asked Apr 19, 2020 181k views

2 Answers

Tcooc · Answer 1 · 2020-04-19T09:43:51+0000

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

Aksoy · Answer 2 · 2020-04-25T06:10:16+0000

ANSWER

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.