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

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Answer 1 · 2017-04-28T17:15:10

#64x^6y^12#

#[(-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#