Question

What is the value of 2⁷/2³​

Answer 1

Answer:

16

Step-by-step explanation:

this is in the form $\frac{a^m}{a^n} => a^{m-n}$

Thus, $2^{7-3}$

=>2⁴ => 16

Answer 2

$\displaystyle \sf{ \frac{ {2}^{7} }{ {2}^{ 3} } } = {2}^{4}= 16$

Given :

The expression

$\displaystyle \sf{ \frac{ {2}^{7} }{ {2}^{ 3} } }$

To find :

To simplify the expression

Formula :

We are aware of the formula on indices that

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

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \frac{ {2}^{7} }{ {2}^{ 3} } }$

Step 2 of 2 :

Simplify the given expression

We use the formula

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

Thus we get

$\displaystyle \sf{ \frac{ {2}^{7} }{ {2}^{ 3} } }$

$\displaystyle \sf{ = {2}^{7 - 3} }$

$\displaystyle \sf{ = {2}^{4} }$

$\displaystyle \sf{ =16 }$

$\displaystyle \sf{ \therefore \: \: \: \frac{ {2}^{7} }{ {2}^{ 3} } } = {2}^{4} = 16$

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