Question

Which expression is equivalent to (x^6 y^8)^3/ x^2y^2

Answer 1

`{x}^(16) {y}^( 22)`

Explanation:

`( {x}^(6) {y}^(8) ) ^(3) = \frac{ {x}^(18) {y}^(24) }{ {x}^(2) {y}^(2) } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^(16) {y}^(22)`

Answer 2

x¹⁶y²²

Explanation:

(x⁶ y⁸)³/ x²y² = (x⁶ˣ³ y⁸ˣ³)/ x²y²

= (x¹⁸ y²⁴)/(x²y²)

= x¹⁶y²²