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

Which calculation can be used to find the value of y in the equation y ^ 3 equals-example-1
User Chubock
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1 Answer

15 votes
15 votes

ANSWER


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.

User David Berg
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