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Question
Simplify:
`root(5)(243a^15b^-20)`
Simplify
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Solution
We are asked to simplify:
`root(5)(243a^15b^-20)`
Step 1: Simplify each component inside the radical
- 243 = 35
- a15 = (a3)5
- b–20 = (b–4)5
Step 2: Apply the 5th root
`root(5)(3^5 * (a^3)^5 * (b^-4)^5) = 3 * a^3 * b^-4`
= `(3a^3)/b^4`
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