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

8ab15
8a3b8
5a3b15
8a3b15

Sagot :

Panoyinidn
(2ab⁵)³
(2ab⁵)(2ab⁵)(2ab⁵)
8a³b¹⁵
Isyllusidn

Answer:

The simplified form is  [tex]\Rightarrow 8a^3b^{15}[/tex]

C is correct.

Step-by-step explanation:

Given: [tex](2ab^5)^3[/tex]

We need to simplify the expression using exponent law.

Exponent law:

[tex](a^m)^m = a^{mn}[/tex]

If power of power then we multiply both power.

[tex]\Rightarrow (2ab^5)^3[/tex]

Distribute exponent 3

[tex]\Rightarrow 2^3a^3(b^5)^3[/tex]

Simplify each one if possible

[tex]\Rightarrow 8a^3b^{15}[/tex]

The power of 2 is 9

Hence, The simplified form is  [tex]\Rightarrow 8a^3b^{15}[/tex]

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