Question

simplify and express the result in power notation with positive exponent. (-5)5 ÷ (-5)8​

Answer 1

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Answer 2

SOLUTION

TO DETERMINE

Simplify and express the result in power notation with positive exponent.

$\sf{ {( - 5)}^{5} \div {( - 5)}^{8} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf{ {(a)}^{m} \div {(a)}^{n} = {a}^{m - n} }$

EVALUATION

$\sf{ {( - 5)}^{5} \div {( - 5)}^{8} }$

$= \displaystyle \sf{ \frac{ {( - 5)}^{5} }{ {( - 5)}^{8} } }$

$= \displaystyle \sf{ {( - 5)}^{5 - 8} }$

$= \displaystyle \sf{ {( - 5)}^{ - 3} }$

$= \displaystyle \sf{ { \bigg( - \frac{1}{5} \bigg)}^{3} }$

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