Question

find the value of 2^-3​

Answer 1

Answer:

-6 is the value of 2^-3

may it help full to you

Answer 2

SOLUTION

TO EVALUATE

$\displaystyle \sf{ {2}^{ - 3} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\displaystyle \sf{ 1. \: \: \: {a}^{ - n} = \frac{1}{ {a}^{n} } }$

$\displaystyle \sf{ 2. \: \: \: {a}^{n} = a \times a \times . \: . \: \times a \: ( \: n \: times) }$

EVALUATION

Here the given expression is

$\displaystyle \sf{ {2}^{ - 3} }$

We find the value as below

$\displaystyle \sf{ {2}^{ - 3} }$

$\displaystyle \sf{ = \frac{1}{ {2}^{ 3} } }$

$\displaystyle \sf{ = \frac{1}{ 2 \times 2 \times 2} }$

$\displaystyle \sf{ = \frac{1}{ 8} }$

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