Question

Evaluate :[5 −¹⁰ ÷ 5 −⁵ ] 5 ⁵​

Answer 1

$\huge\mathcal\fcolorbox{cyan}{black}{\blue{ANSWER}}$

$= \frac{1}{125}$

$\huge\star\sf{GIVEN}$

$( {5}^{ - 10} \div {5}^{ - 5} ) {5}^{5}$

$\huge\star\sf{SOLUTION}$

$= ( \frac{1}{5} ^{10} \div \frac{1}{5} ^{2} ) {5}^{2}$

$= ( \frac{1}{9,765,625} \div \frac{1}{3125} )25$

$= ( \frac{1}{9765625} \times \frac{3125}{1} )25$

$= \frac{1}{3125} \times 25$

$= \frac{1}{125}$

HENCE, THE ANSWER IS 1/125.

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