Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

S i m p l i f y space semicolon space fraction numerator 6 to the power of begin display style 2 over 3 end style end exponent x cube root of 6 to the power of 7 end root over denominator cube root of 6 to the power of 6 end root end fraction

Asked by kishor.kp14 | 21 Jun, 2019, 01:55: PM
Expert Answer
begin mathsize 16px style fraction numerator 6 to the power of begin display style 2 over 3 end style end exponent cross times cube root of 6 to the power of 7 end root space to the power of space space end exponent over denominator cube root of 6 to the power of 6 end root end fraction
equals space fraction numerator 6 to the power of 2 over 3 end exponent cross times open parentheses 6 close parentheses to the power of 1 third cross times 7 end exponent over denominator begin display style open parentheses 6 close parentheses to the power of fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction cross times 6 end exponent end style end fraction space space space space space space space space space space space space space space space space... space since space open parentheses straight a to the power of straight m close parentheses to the power of straight n space equals space straight a to the power of mn
equals fraction numerator begin display style 6 to the power of fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction end exponent cross times open parentheses 6 close parentheses to the power of fraction numerator begin display style 7 end style over denominator begin display style 3 end style end fraction end exponent end style over denominator begin display style open parentheses 6 close parentheses squared end style end fraction
equals 6 to the power of fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction plus fraction numerator begin display style 7 end style over denominator begin display style 3 end style end fraction space end exponent over 6 squared space space space space space space space space space space space space space space space space space space space space space space... space since space straight a to the power of straight m cross times space straight a to the power of straight n space equals space straight a to the power of straight m plus space straight n end exponent
equals 6 to the power of begin display style 9 over 3 end style end exponent over 6 squared equals fraction numerator begin display style 6 cubed end style over denominator 6 squared end fraction equals 6 to the power of 3 space minus space 2 end exponent equals space 6 to the power of 1 equals 6 space space space space space space space space space space space space space... space since space straight a to the power of straight m divided by straight a to the power of straight n space equals space straight a to the power of straight m minus space straight n end exponent
end style
Answered by Yasmeen Khan | 21 Jun, 2019, 04:54: PM
CBSE 9 - Maths
Asked by yc8600021 | 06 Aug, 2021, 03:28: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by choudhuryservicestation | 18 Jun, 2021, 08:03: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by kaushik3199 | 28 May, 2021, 10:36: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by kaviyasanjay2017 | 30 Apr, 2021, 07:32: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Trisha Gupta | 25 Feb, 2021, 10:56: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by swatipuspapatel | 11 Jan, 2021, 06:59: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by gumpanasharmila | 29 Dec, 2020, 10:42: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by aryanbhatt2021 | 22 Oct, 2020, 10:51: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by sbjamdhade80 | 12 Aug, 2020, 05:49: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ds7136510 | 15 May, 2020, 01:10: PM
ANSWERED BY EXPERT
×