Question

Simplify 12^4×9^3×4/6^3×8^2×2^7

Answer 1

Answer:

12^4 = (3×4)^4, 3^4×4^4

9^3=(3^2)^3=3^6

6^3=(2×3)^3=2^3×3^3

8^2 =4^3

2^7= 4^3×2

then, 3^4+6=3^10

4^4+1=4^5

2^3+1=2^4 =4^2

4^3+3=4^6 +2 =4^8

3^10-3=3^9

4^8-5=4^3.

therefore, 3^9× 4^3