Question

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

Answer 1

Answer:

$= {3}^{7 - 2 } \times {3}^{4} \\ = {3}^{5} \times {3}^{4} \\ = {3}^{5 + 4} \\ = {3}^{9} \\ = 19683$

Answer 2

Answer:

${3}^{9}$

Step-by-step explanation:

Given,

To simplify

$( {3}^{7} \div {3}^{2} ) \times {3}^{4}$

Solution:

$( {3}^{7} \div {3}^{2} ) \times {3}^{4}$

Since,

${a}^{x} \div {a}^{y} = {a}^{x - y}$

Hence,

$= ( {3}^{7 - 2} ) \times {3}^{4}$

$= {3}^{5} \times {3}^{4}$

Since,

${a}^{x} \times {a}^{y} = {a}^{x + y}$

Hence,

$= {3}^{5 + 4}$

$= {3}^{9}$

Result:

Hence, the required answer is

${3}^{9} (ans)$