Question

Write the expression as a square of a monomial. a 81x^4

Answer 1

Answer:

(9x²)²

Step-by-step explanation:

Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.

y = 81x⁴

Then we take the square root of both sides of the expression

√y = √81x⁴

y^½ = √81 × √x⁴

y^½ = 9x²

Squaring both sides of the resulting equation to get y back

(y^½)² = (9x²)²

y = (9x²)²

The expression as a square of a monomial is (9x²)²

Answer 2

Answer:

(9x^2)^2 or ((3x)^2)^2

Step-by-step explanation:

find the square root of each multiple of the expression and square that value to get your expression.