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What is the cube root of -1000p^12q^3
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3 votes
What is the cube root of -1000p^12q^3

User Marcel Bro
by
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2 Answers

2 votes
The answer would be -10p64q^1
since -10^3(p^4)^3 (q^1)^3 is -1000p^12q^3
User Beardedeagle
by
6.8k points
6 votes

Answer:


(-10p^(4)q)

Explanation:

we have


\sqrt[3]{-1000p^(12)q^(3)}

we know that


-1000p^(12)q^(3)=(-10)^(3) (p^(4))^(3)(q)^(3)=(-10p^(4)q)^(3)

substitute in the expression


\sqrt[3]{-1000p^(12)q^(3)}=\sqrt[3]{(-10p^(4)q)^(3)}=(-10p^(4)q)

User Aroma
by
5.8k points
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