Question

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

Answer 1

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.