Answer:
width = (27x⁴)(10y⁶)
Explanation:
Multiplying numbers will multiply their coefficient. For 3x, 3 must multiply with another number to get 81. That number is 27, so 3x(27) = (3⋅27)x = 81x.
Now you need the power.
Multiplying numbers with the same base will add up their exponent. I got x⁶ but need to get to x¹⁰.
Just multiply it by x⁴ so that you get (x⁶)(x⁴) = x⁶⁺⁴ = x¹⁰.
Do the same for y.
A = LW
(81x¹⁰)(10y²) = (3x⁶)(y⁻⁴)(W)
(81x¹⁰)(10y²) = (3x⁶)(y⁻⁴)(27x⁴)(10y⁶)
(81x¹⁰)(10y²) = (3x⁶)(27x⁴)(y⁻⁴)(10y⁶)
(81x¹⁰)(10y²) = (3⋅27x⁶⁺⁴)(y⋅10⁻⁴⁺⁶)
(81x¹⁰)(10y²) = (81x¹⁰)(10y²)
width = (27x⁴)(10y⁶)