Simplify and write the answer in exponential form : (3⁷/3²)×3⁴​

2 thoughts on “Simplify and write the answer in exponential form : (3⁷/3²)×3⁴​”

1. Answer:

   [tex] = {3}^{7 – 2 } \times {3}^{4} \\ = {3}^{5} \times {3}^{4} \\ = {3}^{5 + 4} \\ = {3}^{9} \\ = 19683[/tex]

   Reply

2. Answer:

   [tex] {3}^{9} [/tex]

   Step-by-step explanation:

   Given,

   To simplify

   [tex]( {3}^{7} \div {3}^{2} ) \times {3}^{4} [/tex]

   Solution:

   [tex]( {3}^{7} \div {3}^{2} ) \times {3}^{4} [/tex]

   Since,

   [tex] {a}^{x} \div {a}^{y} = {a}^{x – y} [/tex]

   Hence,

   [tex] = ( {3}^{7 – 2} ) \times {3}^{4} [/tex]

   [tex] = {3}^{5} \times {3}^{4} [/tex]

   Since,

   [tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]

   Hence,

   [tex] = {3}^{5 + 4} [/tex]

   [tex] = {3}^{9} [/tex]

   Result:

   Hence, the required answer is

   [tex] {3}^{9} (ans)[/tex]

   Reply