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HELPPPPPPPPP i have the most trouble with math what’s the answer??

HELPPPPPPPPP i have the most trouble with math what’s the answer??-example-1
User Cfprabhu
by
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1 Answer

2 votes

Answer: Third option

Explanation:

Remember that:


\sqrt[n]{x^n}=x

And the Product of powers property:


(a^m)(a^n)=a^((m+n))

The expression is:


\sqrt[4]{(3)/(2x)}

To simplify this expression, you need to multiply the denominator and the numerator by
2^3x^3. Then:


\frac{\sqrt[4]{3}}{\sqrt[4]{2x}}=\frac{\sqrt[4]{3(2^3x^3)}}{\sqrt[4]{2x(2^3x^3)}}

Simplifiying, you get:


\frac{\sqrt[4]{3(8x^3)}}{\sqrt[4]{2x(2^3x^3)}}=\frac{\sqrt[4]{24x^3}}{\sqrt[4]{2^4x^4}}=\frac{\sqrt[4]{24x^3}}{2x}

User Jake Kaupp
by
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