please give us step wise solution for learning for below attached  prob

Asked by kocherladilipkumar | 19th Jun, 2020, 01:11: PM

Expert Answer:

To solve: (-2/3)-3 divided by (4/27)-2

open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of negative 3 end exponent divided by open parentheses 4 over 27 close parentheses to the power of negative 2 end exponent
equals open parentheses fraction numerator 3 over denominator negative 2 end fraction close parentheses cubed divided by open parentheses 27 over 4 close parentheses squared space space space space space space space space... space S i n c e space a to the power of negative n end exponent space equals space open parentheses 1 over a close parentheses to the power of n rightwards double arrow open parentheses a over b close parentheses to the power of negative n end exponent equals open parentheses b over a close parentheses to the power of n
equals space 3 cubed over open parentheses negative 2 close parentheses cubed divided by 27 squared over 4 squared space space space space space space space space space space... space S i n c e space open parentheses a over b close parentheses to the power of m equals a to the power of m over b to the power of m
equals space 3 squared over open parentheses negative 2 close parentheses cubed cross times 4 squared over 27 squared space space space space space space space space space space... space S i n c e space a divided by b over c equals a cross times c over b
equals space fraction numerator 3 cubed over denominator negative 8 end fraction cross times 16 over open parentheses 3 cubed close parentheses squared space space space space space space space space space space space space space... space S i n c e space 27 space equals space 3 cubed
equals negative 3 cubed cross times 2 over 3 to the power of 6 space space space space space space space space space space space space space space space space space space space space... space S i n c e space open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent
equals negative 2 over 3 cubed
equals negative 2 over 27

Answered by Renu Varma | 19th Jun, 2020, 02:54: PM