Question

What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4? 30 31 32 34

Answer 1

3 to the 2nd power.

Explanation:

Answer 2

The simplest form of the expression is 3² ⇒ 3rd answer

Explanation:

- The expression is 3 power 3 multiplied by 3 power 3 over 3 power 4

∵ 3 power 3 = 3³

∵ multiplied by 3 power 3 = × 3³

∵ over 3 power 4 = ÷
`3^(4)`

- Lets write all of them in one expression

∴ The expression =
`(3^(3)*3^(3))/(3^(4))`

- All the numbers in the expression is 3 to the power

∴ The expression have the same base 3

- Remember: if we have numbers of same base multiplied then we

add their powers and if divided then we subtract their powers

`(a^(m)*a^(n))/(a^(q))=a^(m+n-q)`

- Lets use this rule to simplify the expression

∵ The expression =
`(3^(3)*3^(3))/(3^(4))`

- Use the rule of the same base above

∴
`(3^(3)*3^(3))/(3^(4))` =
`3^(3+3-4)=3^(6-4)=3^(2)`

∴ The simplest form of the expression is 3²