What is the cube root of -1,000p12q3

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asked Oct 19, 2018 145k views

1 vote

What is the cube root of -1,000p12q3

Mathematics
college

Bamnet asked

by Bamnet

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2 Answers

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Answer:

-10p4q

Explanation:

Metalshark answered Oct 21, 2018

by Metalshark

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$\bf \sqrt[3]{-1000p^(12)q^3}\qquad \begin{cases} -1000= -10\cdot -10\cdot -10\\ \qquad\qquad (-10)^3\\ p^(12)=p^(4\cdot 3)\\ \qquad (p^4)^3 \end{cases}\implies \sqrt[3]{(-10)^3(p^4)^3q^3} \\\\\\ -10p^4q$

Ali Nem answered Oct 24, 2018

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