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JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0If (y+1)^(2/3)=9 then (y+1) = 9^(3/2) Now what is 9^(3/2) equal to?

JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0Yes, what is the value of that expression. Hint: \( 9^{3/2} = (9^{1/2})^3 = ... \)

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure... \[729^{1/2}\]

JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0Yes, but it's easier to write it the way I have because the square root of 9 is 3. Hence \[ 9^{3/2} = (9^{1/2})^3 = 3^3 = 27 \]

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0where do you get the 1/2?

JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0\[ \frac{3}{2} = 3 \times \frac{1}{2} \] hence \[ 9^{3/2} = (9^{1/2})^3 \]

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0where do we go from there?

JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0\[ 9^{3/2} = 9^{3 \times 1/2} = 9^{ 1/2 \times 3} = (9^{1/2})^3 = 3^3 = 27\] Now \( (y+1)^{2/3} = 9 \) is equivalent to \[ [(y+1)^{2/3}]^{3/2} = 9^{3/2} \] i.e., \[ (y+1)^1 = 27 \] i.e., \[ y + 1 = 27 \] Thus \( y = ... \)

sparky16
 one year ago
Best ResponseYou've already chosen the best response.026! You are a great help! Can u help me with another problem?

JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0Do you understand this one?

JamesJ
 one year ago
Best ResponseYou've already chosen the best response.0Post your new problem as a new problem
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