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CBSE Class 9 Answered

Solve (27)^-1/3 [27^-1/2 - 27 ^-2/3]
Asked by Nimmi | 27 Apr, 2019, 01:24: AM
answered-by-expert Expert Answer
left parenthesis 27 right parenthesis to the power of fraction numerator negative 1 over denominator 3 end fraction end exponent open square brackets 27 to the power of fraction numerator negative 1 over denominator 2 end fraction end exponent minus 27 to the power of fraction numerator negative 2 over denominator 3 end fraction end exponent close square brackets equals 1 over 27 to the power of begin display style 1 third end style end exponent open square brackets 1 over 27 to the power of begin display style 1 half end style end exponent minus 1 over 27 to the power of begin display style 2 over 3 end style end exponent close square brackets equals fraction numerator 1 over denominator left parenthesis 3 cubed right parenthesis to the power of begin display style 1 third end style end exponent end fraction open square brackets 1 over 3 to the power of begin display style 3 divided by 2 end style end exponent minus 1 over 3 to the power of begin display style 2 end style end exponent close square brackets equals 1 third open square brackets 1 over 3 to the power of 3 divided by 2 end exponent minus 3 to the power of negative 1 divided by 2 end exponent over 3 to the power of 3 divided by 2 end exponent close square brackets equals 1 third open square brackets fraction numerator 1 minus begin display style fraction numerator 1 over denominator square root of 3 end fraction end style over denominator 3 to the power of 3 divided by 2 end exponent end fraction close square brackets equals 1 third open square brackets fraction numerator begin display style square root of 3 minus 1 end style over denominator 3 squared end fraction close square brackets equals fraction numerator begin display style square root of 3 minus 1 end style over denominator 3 cubed end fraction
Answered by Renu Varma | 27 Apr, 2019, 04:03: PM

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