Question

Evaluate
(9^-3)(9^12)

Answer 1

1/9^3(9^12)

9^12/9^3

9^12-3

9^9

397,420,489

Answer 2

9514 1404 393

Answer:

387,420,489

Explanation:

The order of operations tells you that exponential terms must be evaluated first, before multiplication:

(9^-3)(9^12) = (1/729)(282,429,536,481) = 387,420,489

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The rules of exponents tell you that this can be simplified before it is evaluated.

(9^-3)(9^12) = 9^(-3+12) = 9^9 = 387,420,489