Question

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

Answer 1

∛(-1000p^12q^3) 
= -10p^4 q

Hope it helps

Answer 2

Answer:

$-10p^4q$

Step-by-step explanation:

Using the exponent rules:

$\sqrt[n]{a^n} = a$

$\sqrt[3]{-1} = -1$

To find the cube root of :

$-1000p^{12}q^3$

then;

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

We can write :

$1000 = 10 \cdot 10 \cdot 10 = 10^3$

$p^{12} = (p^4)^3$

then;

$\sqrt[3]{-10^3 \cdot (p^4)^3 \cdot q^3}$

Apply the exponent rules:

$-10 \cdot p^4 \cdot q$

⇒$-10p^4q$

Therefore, the cube root of $-1000p^{12}q^3$ is, $-10p^4q$