Exponents

Q:  Simplify (2xy²)³.


A:  The “3” as an exponent is often reffered to as a “cube”.  When something is “cubed” that means to multiply it by itself 3 times.  Therefore:

(2xy²)³ = (2xy²)*(2xy²)*(2xy²)

Now, we can collect the like terms:

(2xy²)*(2xy²)*(2xy²) = 2 * 2 * 2 * x * x * x * y² * y² * y² = 8x³y^6

Another way to think of it

In the original problem, (2xy²)³, the “cube” can distribute in to each factor:

(2xy²)³ = (2)³(x)³(y²)³ = 2³x³y^6 = 8x³y^6

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s