Question

write the value of 2 power 5 divide 2 power 3 ​

Answer 1

Answer:

2² is the right answer

Step-by-step explanation:

2⁵/2³=2⁵-³=2²

Answer 2

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ \frac{ {2}^{5} }{ {2}^{3} } }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\displaystyle \sf{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

EVALUATION

Here the given expression is

$\displaystyle \sf{ \frac{ {2}^{5} }{ {2}^{3} } }$

Now we apply the formula

$\boxed{ \: \: \displaystyle \sf{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} } \: \: }$

$\displaystyle \sf{ \frac{ {2}^{5} }{ {2}^{3} } }$

$\displaystyle \sf{ = {2}^{5 - 3} }$

$\displaystyle \sf{ = {2}^{2} }$

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

$\displaystyle \sf{ = 4}$

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