Simplify 2x^2y * 3xy^3 Step by Step

Step by step

Question: simplify (2x²y)(3xy³).

Brackets next to each other mean times.

(2x²y)(3xy³)

In times, the order does not matter.

So numbers go with numbers, and each letter goes with the same letter.

order does not matter: ab = ba

We put them in groups.

= (2 × 3)(x² x)(y y³)

A power tells how many times the letter is multiplied.

x² is 2 x's.

x is 1 x.

Together that is 3 x's.

x² x = (xx)(x) = x³

y y³ = (y)(yyy) = y⁴

So the rule is: same letter, times, add the powers.

2 plus 1 is 3.

For y: 1 plus 3 is 4.

2 + 1 = 3

y: 1 + 3 = 4

x^a x^b = x^{a + b}

2 times 3 is 6.

So we get 6x³y⁴.

= 6x³y⁴

Let's look back.

First: numbers with numbers.

Last: count the letters.

Answer

= 6x³y⁴