How do you simplify (3y^2)(2y^3)(3y2)(2y3)?

2 Answers

6y^56y5

Explanation:

Given that

(3y^2)(2y^3)(3y2)(2y3)

=(3\cdot 2)(y^2\cdot y^3)=(32)(y2y3)

=(6)(y^{2+3})=(6)(y2+3)

=6y^5=6y5

Jul 22, 2018

6y^56y5

Explanation:

Since we are multiplying, we can group the like terms to get

color(steelblue)(3*2)*color(purple)(y^2*y^3)32y2y3

Notice, this expression is saying the same thing as the one in the question, but it can sometimes help to group like terms.

Recall that when we multiply exponents with the same base, we add the powers. This simplifies to

color(steelblue)(6)color(purple)(y^5)6y5

Hope this helps!