Question

Please answer it I want cause my exam is tomorrow

Answer 1

(Root 2/ 5)power8 divided by (root2/5)power13
= (root2/5) power 8 x ( 5/root2)13
= (root2/5)power - 5
= (4root2/3125)power - 1
=(3125/4root2)power 1
=3125/4root2
$3125 \div 4 \sqrt{2}$

Answer 2

$( { \frac{ \sqrt{2} }{5} })^{8} \div ( { \frac{ \sqrt{2} }{5} })^{13} \\ = ( { \frac{ \sqrt{2} }{5} })^{8 - 13} = ( { \frac{ \sqrt{2} }{5} })^{ - 5} = ( { \frac{5}{ \sqrt{2} } })^{5} \\ = \frac{ {5}^{5} }{{ \sqrt{2} }^{5} } \: (\text {or}) \: \frac{3125}{4 \sqrt{2} }$
Here's your answer
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