[(3/5)³]5 ×[(10/9)5]³

 

Asked by dhruvmishra234 | 31st Jul, 2019, 07:08: PM

Expert Answer:

begin mathsize 16px style open square brackets open parentheses 3 over 5 close parentheses cubed close square brackets to the power of 5 cross times open square brackets open parentheses 10 over 9 close parentheses to the power of 5 close square brackets cubed
equals open parentheses 3 over 5 close parentheses to the power of 15 cross times open parentheses 10 over 9 close parentheses to the power of 15
equals 3 to the power of 15 over 5 to the power of 15 cross times open parentheses fraction numerator 2 cross times 5 over denominator 3 squared end fraction close parentheses to the power of 15
equals fraction numerator 3 to the power of 15 over denominator up diagonal strike 5 to the power of 15 end strike end fraction cross times open parentheses fraction numerator 2 to the power of 15 cross times up diagonal strike 5 to the power of 15 end strike over denominator 3 to the power of 30 end fraction close parentheses
equals 2 to the power of 15 over 3 to the power of 15
equals open parentheses 2 over 3 close parentheses to the power of 15 end style

Answered by Sneha shidid | 1st Aug, 2019, 10:35: AM