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

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

sparky16Best ResponseYou've already chosen the best response.0
I'm not sure... \[729^{1/2}\]
 one year ago

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

sparky16Best ResponseYou've already chosen the best response.0
where do you get the 1/2?
 one year ago

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

sparky16Best ResponseYou've already chosen the best response.0
where do we go from there?
 one year ago

JamesJBest 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 \( y = ... \)
 one year ago

sparky16Best ResponseYou've already chosen the best response.0
26! You are a great help! Can u help me with another problem?
 one year ago

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

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