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

Answer:

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

Step-by-step 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 = $\frac{3^{3}*3^{3}}{3^{4}}$

- 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

 $\frac{a^{m}*a^{n}}{a^{q}}=a^{m+n-q}$

- Lets use this rule to simplify the expression

∵ The expression = $\frac{3^{3}*3^{3}}{3^{4}}$

- Use the rule of the same base above

∴ $\frac{3^{3}*3^{3}}{3^{4}}$ = $3^{3+3-4}=3^{6-4}=3^{2}$

∴ The simplest form of the expression is 3²