Question

Simplify.
38 x 33 ÷ 3² = 3[?]

Answer 1

Using order of operations, we can simply solve this problem left to right.

When two numbers having the same base and also having exponents are multiplied, we add the exponents.

3^8 x 3^3 = 3^11

When two numbers having the same base and also having exponents are divided, we subtract the exponents.

3^11 / 3^2 = 3^9

Answer: 3^9

Hope this helps!

Answer 2

Hello

3⁸ x 3³ ÷ 3²

= 3⁸⁺³ ÷ 3²

= 3¹¹ ÷ 3²

= 3¹¹⁻²

= 3⁹