What is a simpler form of the radical expression 4 sqrt 1296 x¹⁶y¹²

Solution:

The expression can be rewritten as:

4√1296x¹⁶y¹²

=4 × √1296 × √x¹⁶ × √y¹²

√1296 = √4 × 324 = √4 × 4 × 81

= 4 × 9

= 36

√x¹⁶ = x⁸

√y¹² = y⁶

= 4 × 36 × x⁸y⁶

= 144x⁸y⁶

What is a simpler form of the radical expression 4 sqrt 1296 x¹⁶y¹²

Summary:

The simpler form of the radical expression 4 sqrt 1296 x¹⁶y¹² is 144x⁸y⁶