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Which expression is equivalent to 3sq 256x^10 y^7

User MrMowgli
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2 Answers

2 votes

Answer: Correct answer is b on the test

Explanation:

User Karl Pokus
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7.4k points
3 votes

For this case we have the following expression:


\sqrt[3]{256x^(10)*y^(7)}

We can rewrite it in the following way:


\sqrt[3]{(64*4)x^(9+1)*y^(6)*y^(1)}

Simplifying, taking into account that:
ax ^ b * ax ^ b = (a * a) x^(b+b), we have the following:


4x^3*y^2(\sqrt[3]{4x*y} )

Thus, the simplified expression is given by:


4x^3*y^2(\sqrt[3]{4x*y} )

Answer:


4x^3*y^2(\sqrt[3]{4x*y} )


User Revdrjrr
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