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How to simplify (2x^3)^4?

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We are given the following expression:


(2x^3)^4

To simplify we will use the following property of exponent:


(ab)^c=a^cb^c

Applying the property we get:


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

on the right side of the expression we will use the following property of exponents:


(a^b)^c=a^(bc)

Applying the property we get:


2^4(x^3)^4=2^4x^(12)

Now, we solve the left side of the resulting expression:


2^4x^(12)=16x^(12)

And since we can't simplify any further this is the result.

User Ariela
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