Question

Please help, basic Algebra question

Answer 1

The algebraic expression result is
`((125)/(216))a^(27)p^(15)`

Explanation:

The given algebraic expression is :

`((5)/(6)a^(9)p^(5))^(3)`

Or,
`((5)/(6))^(3)(a^(9))^(3)(p^(5))^(3)`

Or,
`((125)/(216))a^(27)p^(15)`

Hence the algebraic expression result is
`((125)/(216))a^(27)p^(15)` Answer

Answer 2

The given expression
`((5)/(6) a^(9)p^(5))  ^(3) = (125)/(216)  * a^((27) ) * p^((15))`

Explanation:

Here, the given expression is:
`((5)/(6) a^(9)p^(5))  ^(3)`

Now, starting from the outer most bracket.

As we know :

`(abc)^(n)   = (a)^(n) * (b)^(n)  * (c)^(n)`

and
`(a^m)^(n) = a^((m * n))`

⇒
`((5)/(6) a^(9)p^(5))  ^(3) = ((5)/(6))^(3) * (a^(9))^(3)   * (p^(5)) ^(3)\\`

`=(125)/(216)  * (a)^((9*3) ) * (p)^((5 * 3))\\= (125)/(216)  * a^((27) ) * p^((15))`

Hence, the given expression
`((5)/(6) a^(9)p^(5))  ^(3) = (125)/(216)  * a^((27) ) * p^((15))`