Question

28 x^8 by (-7x^4) guys please solve it fast today is my pre borad please​

Answer 1

SOLUTION

TO DETERMINE

$\displaystyle \sf{ \frac{28 {x}^{8} }{( - 7 {x}^{4} )} }$

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

$\displaystyle \sf{ \frac{28 {x}^{8} }{( - 7 {x}^{4} )} }$

Now we simplify it as below

$\displaystyle \sf{ \frac{28 {x}^{8} }{( - 7 {x}^{4} )} }$

$= \displaystyle \sf{ - \frac{28}{7} \times \frac{ {x}^{8} }{{x}^{4} } }$

$= \displaystyle \sf{ -4 {x}^{(8 - 4)} }$

$= \displaystyle \sf{ -4 {x}^{4} }$

FINAL ANSWER

$\boxed{ \: \: \displaystyle \sf{ \frac{28 {x}^{8} }{( - 7 {x}^{4} )} } = - 4 {x}^{4} \: \: }$

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Answer 2

$\rm{\dfrac{28x^8}{-7x^4}}$

$\rm{=-\dfrac{28x^8}{7x^4}}$

$\rm{=\dfrac{4x^8}{x^4}}$

$\rm{=4x^{8-4}}$

$\rm{=-4x^4}$