Question

Choose the correct simplification of the expression (2ab5)3.

8ab15
8a3b8
5a3b15
8a3b15

Answer 1

(2ab⁵)³
(2ab⁵)(2ab⁵)(2ab⁵)
8a³b¹⁵

Answer 2

The simplified form is
`\Rightarrow 8a^3b^(15)`

C is correct.

Explanation:

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

We need to simplify the expression using exponent law.

Exponent law:

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

If power of power then we multiply both power.

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

Distribute exponent 3

`\Rightarrow 2^3a^3(b^5)^3`

Simplify each one if possible

`\Rightarrow 8a^3b^(15)`

The power of 2 is 9

Hence, The simplified form is
`\Rightarrow 8a^3b^(15)`