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1 vote
Which expression is equivalent to ?

x5
algebra II engenuity

Which expression is equivalent to ? x5 algebra II engenuity-example-1
User Mins
by
7.1k points

1 Answer

5 votes

Answer:

Last Option

Explanation:

Given expression is:


\sqrt[4]{(24x^6y)/(128x^4y^5)}

Simplifying the radicand


=\sqrt[4]{(8*3*x^6*y)/(8*16*x^4*y^5)}\\=\sqrt[4]{(3*x^6*y)/(16*x^4*y^5)}\\=\sqrt[4]{(3*x^6*y)/(2^4*x^4*y^5)}\\=\sqrt[4]{(3*x^((6-4)))/(2^4*y^((5-1)))}\\=\sqrt[4]{(3*x^(2))/(2^4*y^(4))}\\Applying\ Radical\\= \frac{\sqrt[4]{3x^2}}{2y}

Hence,

Last option is correct ..

User EconomiCurtis
by
8.3k points

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