[(25)^2/3]^3/4 = ?

Asked by tv2000in | 30th Sep, 2016, 02:49: PM

Expert Answer:

begin mathsize 16px style open square brackets open parentheses 25 close parentheses to the power of 2 over 3 end exponent close square brackets to the power of 3 over 4 end exponent
equals open parentheses 25 close parentheses to the power of 2 over 3 cross times 3 over 4 end exponent space space space space space space space space space.... open parentheses a to the power of m close parentheses to the power of n space equals space a to the power of m n end exponent
equals open parentheses 25 close parentheses to the power of 2 over 4 end exponent
equals open parentheses 25 close parentheses to the power of 1 half end exponent
equals square root of 25
equals 5 end style

Answered by Rashmi Khot | 30th Sep, 2016, 02:53: PM