Question

a raise to 6 divided a raise to 4​

Answer 1

A^6-4 = a^2 ( a raise to 2)

Answer 2

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ \frac{ {a}^{6} }{ {a}^{4} } }$

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

$\displaystyle \sf{ \frac{ {a}^{6} }{ {a}^{4} } }$

Now we apply the formula

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

$\displaystyle \sf{ \frac{ {a}^{6} }{ {a}^{4} } }$

$\displaystyle \sf{ = {a}^{6 - 4} }$

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

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