What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4? 30 31 32 34
Accepted Solution
A:
Answer:The simplest form of the expression is 3² ⇒ 3rd answerStep-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 = ÷ [tex]3^{4}[/tex]- Lets write all of them in one expression∴ The expression = [tex]\frac{3^{3}*3^{3}}{3^{4}}[/tex]- 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 [tex]\frac{a^{m}*a^{n}}{a^{q}}=a^{m+n-q}[/tex]- Lets use this rule to simplify the expression∵ The expression = [tex]\frac{3^{3}*3^{3}}{3^{4}}[/tex]- Use the rule of the same base above∴ [tex]\frac{3^{3}*3^{3}}{3^{4}}[/tex] = [tex]3^{3+3-4}=3^{6-4}=3^{2}[/tex]∴ The simplest form of the expression is 3²