Question

Simplify the expression.

Show your work.
4 √81m^8n^16

Answer 1

3m²n⁴

Explanation:

Given :

⇒
`\sqrt[4]{81m^(8)n^(16) }`

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Solving :

⇒
`\sqrt[4]{81}` ×
`\sqrt[4]{m^(8) }` ×
`\sqrt[4]{n^(16) }`

⇒
`\sqrt[4]{3^(4) }` ×
`\sqrt[4]{(m^(2))^(4) }` ×
`\sqrt[4]{(n^(4))^(4) }`

⇒ 3 × m² × n⁴

⇒ 3m²n⁴

Answer 2

hope you can understand