Question

Use the rule for order of operations to simplify the expression as much as possible.

Answer 1

The answer to your question is 3

Explanation:

Expression

3⁴ + 9² / 3³ - 9²

1.- Do the division

3⁴ + (9² / 3³) - 9²

Use law of exponents

3⁴ + (3⁴ / 3³) - 9²

3⁴ + 3⁴⁻³ - 9²

Simplify

3⁴ + 3 - 9²

2.- Convert 9² to base 3

3⁴ + 3 - 3⁴

3.- Simplify (associative property)

( 3⁴ - 3⁴ ) + 3

4.- Result

3