Simply and write the answer with positive integral index 27^(3) × 3^(-6) Pls answer

Question

Simply and write the answer with positive integral index


`27^(3)` ×
`3^(-6)`

Pls answer

Answer 1

3³

Explanation:

Using the rules of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))`

`(a^(m)) ^(n)` =
`a^(mn)`

Given

27³ ×
`3^(-6)`

Note that 27 = 3³ , thus

= (3³)³ ×
`3^(-6)`

=
`3^(9)` ×
`3^(-6)`

=
`3^((9-6))`

= 3³