Question

Solve y=(2/3) x^(3/2).

Answer 1

To solve the equation y = (2/3) x^(3/2), isolate the variable x by raising both sides to the power of 2/3 and simplifying the expression.

Step-by-step explanation:

Equations are mathematical expressions that assert the equality of two quantities. An equation typically contains one or more variables and often involves mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. Solving an equation means finding the values of the variables that make the equation true.

To solve the equation y = (2/3) x^(3/2), we need to isolate the variable x. Here are the steps:

1. Rewrite the equation as x^(3/2) = (3/2) y.
2. Raise both sides to the power of 2/3 to cancel out the exponent on x. This gives us x = ((3/2) y)^(2/3).
3. Simplify the expression on the right side by applying the power rule. x = (3/2)^(2/3) * y^(2/3).

So the solution is x = (3/2)^(2/3) * y^(2/3).