Question

Which calculation can be used to find the value of y in the equation y ^ 3 equals 27?

Answer 1

`y\text{ = }\sqrt[3]{27}`

Step-by-step explanation

We want to find the correct method to solve the equation given:

`y^3\text{ = 27}`

Since y is raised to the power of 3, the correct way to find the value of y is to raise both sides of the equations by a power that will reduce the power of y to 1.

This means we will raise both sides of the equation by 1/3.

That is:

`\begin{gathered} (y^3)^{(1)/(3)}=(27)^{(1)/(3)} \\ \text{This is the same thing as:} \\ y\text{ = }\sqrt[3]{27} \end{gathered}`

That is the answer.