Math, asked by bhumi8550, 11 months ago

solve this please Will MARK YOU AS BRAINLIEST ​

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Answers

Answered by kavyasaxena106
0

Answer:

((4/5)^3)^2 ÷(4/5)^2×1/4

(4/5)^3×2 ×(5/4)^2 ×1/4

 \frac{4 \times 4 \times 4 \times 4 \times 4 \times 4}{5 \times 5 \times 5 \times 5 \times 5 \times 5}  \times  \frac{5 \times 5}{4 \times 4}  \times  \frac{1}{4}

4×4×4/5×5×5×5

64/625

Answered by RvChaudharY50
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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