find the value 

open parentheses square root of 5 close parentheses to the power of negative 3 space space end exponentopen parentheses square root of 2 close parentheses to the power of negative 3 end exponent

Asked by arunkumarsingh0004 | 16th Apr, 2019, 10:18: PM

Expert Answer:

begin mathsize 16px style open parentheses square root of 5 close parentheses to the power of negative 3 end exponent open parentheses square root of 2 close parentheses to the power of negative 3 end exponent
equals 1 over open parentheses square root of 5 close parentheses cubed cross times 1 over open parentheses square root of 2 close parentheses cubed
equals fraction numerator 1 over denominator 5 square root of 5 end fraction cross times fraction numerator 1 over denominator 2 square root of 2 end fraction
equals fraction numerator 1 over denominator 10 square root of 10 end fraction
equals fraction numerator 1 over denominator 10 square root of 10 end fraction cross times fraction numerator square root of 10 over denominator square root of 10 end fraction
equals fraction numerator square root of 10 over denominator 100 end fraction end style

Answered by Sneha shidid | 17th Apr, 2019, 09:17: AM