Question

Which expression is equivalent to RootIndex 4 StartRoot StartFraction 24 x Superscript 6 Baseline y Over 128 x Superscript 4 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x not-equals 0 and y

Answer 1

The expression $\sqrt[4]{\frac{24x^6y}{128x^4y^5} }$ is equivalent to the expression $\frac{\sqrt[4]{3x^2}}{2y}$

What is an equation?

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Given the expression:

$\sqrt[4]{\frac{24x^6y}{128x^4y^5} }\\ \\Simplifying:\\\\=\frac{\sqrt[4]{3x^2}}{2y}$

The expression $\sqrt[4]{\frac{24x^6y}{128x^4y^5} }$ is equivalent to the expression $\frac{\sqrt[4]{3x^2}}{2y}$

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