Question

please tell fast and with full solution​

Answer 1

(2 × 3⁴ × 2⁵)/(9 × 4²)

→ (2² × 3² × 3² × 2⁴)/(3² × 2⁴)

→ 2² × 3²

→ (2×3)²

→ 6²

→ 36

__________

Procedure:

~ Break 3⁴ into 3² and 3²

~ Break 2⁵ into 2 and 2⁴, combine 2 with other 2 and make it 2²

~ Convert 9 into 3² and 4² into 2⁴

~ Cancel the common terms and simplify.

Answer 2

Answer:

2×3^4×2^5/9×4^4

= 2×3^4×2^5/3^2×(2^2)^2

= 2^1×2^5×3^4/3^2×2^4

= (2)^1+5×3^4/3^2×2^4

= 2^6×3^4/3^2×2^4

= 2^6÷2^4×3^4×3^2

= (2)^6-4×(3)^4-2

= 2^2×3^2

= 4×9

= 36