Question

Apply the Law of Exponents to write an equivalent expression of −4x3y2 ⋅
3x5y6.

x
y8

Answer 1

Multiply coefficients and add exponents:

(-4)(3) = -12
x^3 · x^5 = x^(3+5) = x^8
y^2 · y^6 = y^(2+6) = y^8

So the product is −12x^8y^8.