Question
Rewrite the following expression by replacing all roots with appropriate exponents. Do not evaluate or simplify the expression. \[ 4+\sqrt[3]{(3 y)^{7}} \]
Ask by Young Moran. in South Africa
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression can be rewritten as \( 4 + (3y)^{7/3} \).
Solution
The cube root of any number can be expressed as raising that number to the power of 1/3. Thus, the expression
4 + ∛[(3y)⁷]
can be rewritten as
4 + ((3y)⁷)^(1/3) or 4 + (3y)^(7/3).
Both forms are equivalent and correctly replace the cube root with an exponent.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
The expression can be rewritten by replacing the root with an exponent as follows: \[ 4 + (3y)^{\frac{7}{3}} \]
