solve this please Will MARK YOU AS BRAINLIEST
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0
Answer:
((4/5)^3)^2 ÷(4/5)^2×1/4
(4/5)^3×2 ×(5/4)^2 ×1/4
4×4×4/5×5×5×5
64/625
Answered by
149
Question :---
- Solve [ ((4/5)³)² ÷ (4/5)² ] × 1/4
Formula used :-----
- (a^b)^c = a^(bc)
- (a^m) ÷ (a^n) = a^(m-n)
Solution :----
→ (4/5)³)² = (4/5)^6 [ By (a^b)^c = a^(bc) ]
Now,
→ (4/5)^6 ÷ (4/5)² = (4/5)⁴ [ By (a^m) ÷ (a^n) = a^(m-n) ]
So, our Question Becomes now,
→ (4/5)⁴ × (1/4)⁴
→ (4)³/(5⁴)
→ 64/625 (Ans)
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