Question

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

Answer 1

∛(-1000p^12q^3)
= -10p^4 q

Hope it helps

Answer 2

`-10p^4q`

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`