Question

Evaluate:(25) ³/² × (243) ^3/5 / (16) ^5/4 × 2 ⁴/³ × 7 ^ 3/5​

Answer 1

Answer:

(25)

3/2

×(243)

3/5

⇒

(2×2×2×2)

5/4

×(2×2×2)

4/3

(5×5)

3/2

×(3×3×3×3×3)

3/5

⇒

(2

4

)

5/4

×(2

3

)

4/9

(5

2

)

3/2

×(3

5

)

3/5

⇒

2

5

×2

4

5

3

×3

3

⇒

2

9

(5×3)

3

∵9

5

×9

10

=9

15

⇒

2

9

15

3

Answer

Answer 2

(25) ³/² × (243) ^3/5 / (16) ^5/4 × 2 ⁴/³ × 7 ^ 3/5

.