Slinginfin13 Slinginfin13

12-01-2021
Mathematics

contestada

(01.02 LC) Which of the following is equivalent to
[tex](mn)^3[/tex]
A:3mn
B:
[tex]m^3n[/tex]
C:
[tex]mn^3 [/tex]
D:
[tex]m^3n^3[/tex]

Respuesta :

MrRoyal MrRoyal

17-01-2021

Answer:

[tex](mn)^3 = m^3 n^3[/tex]

Step-by-step explanation:

Given

[tex](mn)^3[/tex]

Required

Select an equivalent expression

To solve this question, we apply the following law of indices:

[tex](xy)^b = x^b * y^b[/tex]

Similarly:

[tex](mn)^3 = m^3 * n^3[/tex]

[tex](mn)^3 = m^3 n^3[/tex]

D. is correct

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