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Show that (3 * 8 * x)⁷ = 6⁷ * 4⁷ * x⁷

1 Answer

6 votes

Answer:

Q.E.D.

Step-by-step explanation:

Given the expression


(3*8* x)^7

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:


=(3*2*4* x)^7

We then go further to get:


=(6*4* x)^7

Distributing the exponent, we have:


=6^7*4^7* x^7

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

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