Question

Write (-4x^2ya^3)^2 as a monomial in standard form.

Answer 1

`16a^6x^4y^2`

Explanation:

To simplify this expression, use the exponent rule stating that when an exponent is put to an exponent, the exponent values are multiplied (e.g.,
`(x^2)^2 = x^(2 \cdot 2) = x^4`)

Using that rule, we get:

`(-4x^2ya^3)^2 = (-4)^2 \cdot x^((2 \, \cdot \, 2)) \cdot y^2 \cdot a^((3 \, \cdot \, 2))`.

This can be simplified to

`16 \cdot x^4 \cdot y^2 \cdot a^6`,

which can be written as:

`16a^6x^4y^2`

using the commutative property of multiplication.