ICSE Class 8 Answered

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

Asked by kocherladilipkumar | 19 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 | 19 Jun, 2020, 02:54: PM

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