Question

The model represents a perfect square monomial.

What equation is represented by the model?

(2x)2 = 4x2
(2x2)2 = 4x4
(4x)2 = 8x2
(4x2)2 = 8x8

Answer 1

It would be the first one.

Answer 2

A Monomial is a polynomial containing single term.For example, x, x², x²y², 4 y², 25 y³.

The meaning of term perfect square for an integral value is the number whose square root is any integer.For example, √4=2, √16=4 or 5²= 25, 6² = 36,

For any variable ,After solving the root(Square, cube, fourth...) doesn't possess any root. For example √x²= x, ∛y³= y

Considering at the options

1. (2 x)² = 2 × 2 × x × x = 4 x² →→(True)

2. (2 x²) = 2 × 2 × x² × x²=
`4 x^4` →→→→(True)

3.
`(4 x)^2= 4 * 4 * x * x = 16 x^2`→→→→→(False)

4.
`(4 x ^2)^2= 4 * 4 * x^2 * x^2= 16 x^4`→→→→→(False)