Math, asked by posadhanalakshmi9545, 5 months ago

simplify the follwing (-4)^5/(-4)^8​

Answers

Answered by Anonymous
2

hence the above is answer

Attachments:
Answered by Anonymous
12

Step-by-step explanation:

 \blue{ \bf{ \underline{QUESTION : -  }}}

simplify the follwing (-4)^5/(-4)^8

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 \boxed{ \huge{ \bold{Given}}}

{ \huge {\large{ \sf{   { - 4}^{5}   \div  {( - 4)}^{8}}}}}

 \boxed{ \huge \bold{to \: find}}

  • Simplify the Question

 \star{ \pink{ \underline{ \underline{Soluton :  - }}}}

{ \purple{ \underbrace{ \large{ \bold{LaWs  \: oF  \: ExPoNeNtS}}}}}

Note :

  • Multiplying bases are same power are added.

  • Division bases are same power are subtract .

 \implies{ \large{ \sf{  { - 4}^{5}   \times  \frac{1}{ { (- 4)}^{8} }}}}

 \implies{ \large{ \sf{( - 1) \times  {( - 4)}^{5}  \times  \frac{1}{ {(4)}^{8} }}}}

\implies{ \large{ \sf{ ( - 1) \times  \frac{1}{ {( - 4)}^{3} }}}}

\implies{ \large{ \sf{ -  \frac{1}{64}}}}

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