Question

Law of radicals

1.) √x⁷

2.) ³√y⁵

3.) ⁵√a¹²

4.) √⁴√z⁹

plsss pa solve
masakit na ulo ko eh

Answer 1

1)
`√(x^7)=x^{(7)/(2)`

2)
`\sqrt[3]{y^5}=y^{(5)/(3)`

3)
`\sqrt[5]{a^(12)}=a^{(12)/(5) }`

4)
`\sqrt[4]{z^(9)}=z^(9)/(4)`

Explanation:

1)
`√(x^7)`

We know that
`√(x)=x^{(1)/(2)`

So,
`√(x^7)=x^{(7)/(2)`

2)
`\sqrt[3]{y^5}`

We know that
`\sqrt[3]{x}=x^{(1)/(3)`

So,
`\sqrt[3]{y^5}=y^{(5)/(3)`

3)
`\sqrt[5]{a^(12)}`

We know that
`\sqrt[5]{x}=x^{(1)/(5)`

So,
`\sqrt[5]{a^(12)}=a^{(12)/(5) }`

4)
`\sqrt[4]{z^(9)}`

We know that
`\sqrt[4]{x}=x^{(1)/(4)`

So,
`\sqrt[4]{z^(9)}=z^(9)/(4)`