Question

Which number is equivalent to 3^(4)÷3^(2)

Answer 1

The number that is equivalent to
`3^(4)/3^(2)` is 9.

Properties of exponents involve rules that simplify expressions involving powers including rules for multiplication, division and raising a power to another power.

To find the number equivalent to 3^(4) ÷ 3^(2), we will apply the rule that when you divide two numbers with the same base raised to different exponents, you subtract the exponents.

In this case, 3^(4) / 3^(2) is equal to:

= 3^(4 - 2).

= 3^(2).

= 9.

Therefore, the number is equivalent to 9.