Question

Which expression is equivalent to (4x−^-3y^4)−2?

Answer 1

The equivalent expression is
`1/(16x^2 - 48xy^4 + 9y^8)`. Option C

Given that the expression is;

`(4x - 3y^4)^-2`

Taking the reciprocal gives us

`1/(4x - 3y^4)^2`

Now, let's expand the square of the expression inside the parentheses.

`(4x - 3y^4)^2`

Expanding, we have

1
`6x^2 - 24xy^4 - 24xy^4 + 9y^8`

Simplifying further, we get;

`16x^2 - 48xy^4 + 9y^8`

Now, we can rewrite our expression as;

`1/(16x^2 - 48xy^4 + 9y^8)`

Complete question:

Which expression is equivalent to (4x−3y4)−2?

1 over quantity 16 times x raised to the sixth power times y raised to the eighth power end quantity

x raised to the sixth power over quantity 16 times y raised to the eighth power end quantity

`1/(16x^2 - 48xy^4 + 9y^8)`