AmariseZ51219 AmariseZ51219
  • 25-10-2022
  • Mathematics
contestada

Show that (3 * 8 * x)⁷ = 6⁷ * 4⁷ * x⁷

Respuesta :

ArloY83614 ArloY83614
  • 25-10-2022

Answer:

Q.E.D.

Explanation:

Given the expression

[tex](3\times8\times x)^7[/tex]

We want to show that it is equal to the right-hand side.

Now, we note that: 8 = 2 x 4

Substituting 8 = 2 x 4, we have:

[tex]=(3\times2\times4\times x)^7[/tex]

We then go further to get:

[tex]=(6\times4\times x)^7[/tex]

Distributing the exponent, we have:

[tex]=6^7\times4^7\times x^7[/tex]

This is the given right-hand side of the equation as required.

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