3 ^3 x 9 ^(-1/3)  /  243^(2/3) 

 

We are getting answer as 1 / 3 ^ (1/3)

 

Is this correct?

Asked by saroms | 28th Nov, 2020, 08:28: PM

Expert Answer:

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

Answered by Yasmeen Khan | 11th Jan, 2021, 04:26: PM