ICSE Class 8 Answered
3 ^3 x 9 ^(-1/3) / 243^(2/3)
We are getting answer as 1 / 3 ^ (1/3)
Is this correct?
Asked by saroms | 28 Nov, 2020, 20:28: PM
![begin mathsize 16px style 3 cubed space straight x space 9 to the power of fraction numerator negative 1 over denominator 3 end fraction end exponent divided by 243 to the power of 2 over 3 end exponent
equals 3 cubed space cross times space 3 to the power of 2 cross times fraction numerator negative 1 over denominator 3 end fraction end exponent space divided by space 3 to the power of 5 cross times 2 over 3 end exponent space
equals 3 to the power of 3 space plus space fraction numerator negative 2 over denominator 3 end fraction minus 10 over 3 end exponent
equals 3 to the power of fraction numerator 9 minus 2 minus 10 over denominator 3 end fraction end exponent
equals 3 to the power of fraction numerator negative 3 over denominator 3 end fraction end exponent
equals 3 to the power of negative 1 end exponent
equals 1 third end style](https://images.topperlearning.com/topper/tinymce/cache/e64d5a6b6c919ea595ea78ae63a62941.png)
Answered by Yasmeen Khan | 11 Jan, 2021, 16:26: PM
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