Question

Write as a single power. Then evaluate
(4^2)^6/ (4^3)^3

Answer 1

64.

Explanation:

(4^2)^6 / (4^3)^3

=> (4)^2×6 / (4)^3×3

=> (4)^12 / (4)^9

[Since, a^m/a^n => a^m-n]

=> (4)^12-9

=> (4)^3

=> (4×4×4)

=> 64. Ans.

Answer 2

64

Explanation:

`\frac{ { ({4}^(2) )}^(6) }{ { ({4}^(3) )}^(3) } \\ = \frac{ {4}^(12) }{ {4}^(9) } \\ = {4}^(12 - 9) \\ = {4}^(3) \\ = 4 * 4 * 4 \\ = 64 \\`