Question

Simplify 6 ^215 ×3 ^315

Answer 1

Heya!!
Thanks for asking the question.
Here is your answer.




Hope it helps you.

Answer 2

◢GIVEN
$= > {6}^{215} \times {3}^{315} \\ \\ = > {(2 \times 3)}^{215} \times {3}^{315}$
________________________________

● WE KNOW THAT

$= > {(a \times b)}^{n} = {a}^{n} \times {b}^{n}$
________________________________

◢THEN

$= > {(2 \times 3)}^{215} \times {3}^{315} \\ \\ = > {2}^{215} \times {3}^{215} \times {3}^{315}$
______________________________

● WE ALSO KNOWN THAT

$= > {a}^{n} \times {a}^{m} = {a}^{n + m}$
________________________________

◢SO

$= > {2}^{215} \times {3}^{215} \times {3}^{315} \\ \\ = > {2}^{215} \times {3}^{(215 + 315)} \\ \\ > {2}^{215} \times {3}^{530} \: \: \: \: \: \: ...[ANSWER]$
_________________________________

☆$BE \: \: BRAINLY$☆