How do you simplify [(-2xy^2)^3]^2?

1 Answer
Apr 28, 2017

64x^6y^12

Explanation:

[(-2xy^2)^3]^2

When you have an exponent being raised to another exponent you can multiply them for an equal value.

So...

[(-2xy^2)^3]^2

(-2xy^2)^6

Now you can see this as...

(-2)^6(x)^6(y^2)^6

Now just raise -2 to the sixth power and multiply the exponents of the variables

(-2)^6(x)^6(y^2)^6

64(x)^6(y^2)^6

64x^6(y^2)^6

64x^6y^12