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inysia [295]
3 years ago
8

What is the cube root of -1,000p^12q^3? a)-10p^4 b)-10p^4q c)10p^4 d)10p^4q

Mathematics
2 answers:
Sauron [17]3 years ago
8 0
\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}
\\\\\\
\sqrt[3]{(-10)^3(p^4)^3q^3}\implies (-10)(p^4)q^3\implies \boxed{-10p^4q^3}
Marat540 [252]3 years ago
8 0
Its actually -10p^4q or b.
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