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Sedbober [7]
2 years ago
6

Evaluate or Simplify: (5^2 × 6^2/(30)^4)^3 ​

Mathematics
1 answer:
aliina [53]2 years ago
6 0

Step-by-step explanation:

Given that:

[{5² × 6²}/{(30)⁴}]³

⇛[{5² × 6²}/{(5 × 6)⁴}]³

⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]

⇛[{5²/5⁴} × {6² × 6⁴}]³

⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]

⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]

⇛[(5×6)^-2]³

⇛[30^-2]³

⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]

⇛30^-6. [∵(a^-ⁿ = 1/a^n]

⇛1/(30)⁶ ≈ 72 90 00 000 Ans.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

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Answer:

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Further explanation:

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Learn more about coordinate geometry at:

  • brainly.com/question/4819659
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