Question

How do you multiply `(x ^ { 2} y ^ { 4} ) ^ { 3} \cdot 2x ^ { 3} y ^ { 5}`?

Answer 1

We will use two exponent rules to solve this one: `(a^b)^x=a^(b*x)` and `a^b*a^c=a^(b+c)`.

Explanation:

Let's use the first rule to simplify the first half of the equation:

`(x^2y^4)^3 = x^(2*3)y^(4*3)=x^6y^12`

We now have `x^6y^12*2x^3y^5`. Let's now use the second rule:

`2x^(6+3)y^(12+5) = 2x^9y^17`