Question

I'm having trouble finding out how to add numbers with exponents. I'd appreciate it if you could help me out. Here's the question:)

4w^2+w^2

Answer 1

`5 w^(2)`

Explanation:

Step 1: The given expression is
`4 w^(2)+w^(2)`.

Step 2: Let us first know the law of exponents to add two exponents.

The base and the exponents must be the same to add two exponents.

Here base is w and the exponent is 2. They are same.

Step 3: Now add the coefficient of
`w^(2)`.

`4 w^(2)+w^(2)=(4+1) w^(2)=5 w^(2)`

Hence the addition of the expression
`4 w^(2)+w^(2) \text { is } 5 w^(2)`.