Question

Choose the correct simplification of the expression (2ab5)3. (1 point) Question 8 options: 1) 8ab15 2) 8a3b8 3) 5a3b15 4) 8a3b15

Answer 1

4).
`8a^(3)b^(15)`

Explanation:

The Given expression is that,

`(2ab^(5))^(3)`

On simplifying,

`(2ab^(5))^(3)` =
`(2ab^(5) )(2ab^(5)) (2ab^(5))`

=
`(2^(3) ) * (ab^(5))^(3)`

= (2×2×2) × (
`ab^(5)` ×
`ab^(5)` ×
`ab^(5)`)

=
`8a^(3)b^(15)`

Thus, option 4 i.e.
`8a^(3)b^(15)` is the correct simplification of the given expression.