simplify and express the reasult in positive exponent
 
 
(-3\7)^2  divided by (-7\3)^12\-4

Asked by ajayrath7 | 22nd Jun, 2017, 08:48: PM

Expert Answer:

begin mathsize 16px style fraction numerator begin display style open parentheses fraction numerator negative 3 over denominator 7 end fraction close parentheses squared end style over denominator open parentheses fraction numerator negative 7 over denominator 3 end fraction close parentheses to the power of begin display style fraction numerator 12 over denominator negative 4 end fraction end style end exponent end fraction equals fraction numerator begin display style open parentheses fraction numerator negative 3 over denominator 7 end fraction close parentheses squared end style over denominator open parentheses fraction numerator 7 over denominator negative 3 end fraction close parentheses to the power of begin display style negative 3 end style end exponent end fraction
space space space space space space space space space space space space space space space space space equals open parentheses fraction numerator begin display style negative 3 end style over denominator begin display style 7 end style end fraction close parentheses squared cross times open parentheses fraction numerator begin display style negative 3 end style over denominator begin display style 7 end style end fraction close parentheses to the power of negative 3 end exponent space space space...... open square brackets Since space open parentheses fraction numerator begin display style straight a end style over denominator straight b end fraction close parentheses to the power of straight m divided by open parentheses fraction numerator begin display style straight c end style over denominator straight d end fraction close parentheses to the power of straight n equals open parentheses fraction numerator begin display style straight a end style over denominator straight b end fraction close parentheses to the power of straight m cross times open parentheses fraction numerator begin display style straight d end style over denominator straight c end fraction close parentheses to the power of straight n close square brackets
space space space space space space space space space space space space space space space space space equals open parentheses fraction numerator begin display style negative 3 end style over denominator begin display style 7 end style end fraction close parentheses squared cross times open parentheses fraction numerator begin display style 7 end style over denominator begin display style negative 3 end style end fraction close parentheses cubed space space space space space space...... open square brackets Since space open parentheses fraction numerator begin display style straight a end style over denominator straight b end fraction close parentheses to the power of negative straight m end exponent equals open parentheses fraction numerator begin display style straight b end style over denominator straight a end fraction close parentheses to the power of straight m close square brackets
space space space space space space space space space space space space space space space space space equals open parentheses fraction numerator begin display style negative 3 end style over denominator begin display style 7 end style end fraction close parentheses cross times open parentheses fraction numerator begin display style negative 3 end style over denominator begin display style 7 end style end fraction close parentheses cross times open parentheses fraction numerator begin display style 7 end style over denominator begin display style negative 3 end style end fraction close parentheses cross times open parentheses fraction numerator begin display style 7 end style over denominator begin display style negative 3 end style end fraction close parentheses cross times open parentheses fraction numerator begin display style 7 end style over denominator begin display style negative 3 end style end fraction close parentheses
space space space space space space space space space space space space space space space space space equals open parentheses fraction numerator begin display style 7 end style over denominator begin display style negative 3 end style end fraction close parentheses end style

Answered by Rebecca | 22nd Jun, 2017, 09:02: PM