Question

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

Answer 1

The answer would be -10p64q^1
since -10^3(p^4)^3 (q^1)^3 is -1000p^12q^3

Answer 2

`(-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)`