CBSE Class 9 Answered

Simplify: (9/16)^3/2×(36/49)^5/2+(343/216)^-5/3

Asked by harisinhapala0 | 11 Jan, 2023, 05:21: AM

Expert Answer

begin mathsize 14px style x space equals space open parentheses 9 over 16 close parentheses to the power of bevelled 3 over 2 end exponent space cross times open parentheses 36 over 49 close parentheses to the power of bevelled 5 over 2 end exponent divided by open parentheses 343 over 216 close parentheses to the power of bevelled fraction numerator negative 5 over denominator 3 end fraction end exponent end style

begin mathsize 14px style x space equals space open parentheses 3 squared over 4 squared close parentheses to the power of bevelled 3 over 2 end exponent space cross times open parentheses 6 squared over 7 squared close parentheses to the power of bevelled 5 over 2 end exponent divided by open parentheses 7 cubed over 6 cubed close parentheses to the power of bevelled fraction numerator negative 5 over denominator 3 end fraction end exponent end style

begin mathsize 14px style x space equals space open parentheses 3 over 4 close parentheses cubed space cross times open parentheses 6 over 7 close parentheses to the power of 5 divided by open parentheses 7 over 6 close parentheses to the power of negative 5 end exponent end style

begin mathsize 14px style x space equals space open parentheses 3 over 4 close parentheses cubed space cross times open parentheses 6 over 7 close parentheses to the power of 5 divided by space open parentheses 6 over 7 close parentheses to the power of 5 space space equals space space stretchy left parenthesis 3 over 4 stretchy right parenthesis cubed space equals space 27 over 64 end style

Answered by Thiyagarajan K | 11 Jan, 2023, 08:06: AM

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