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

Answer:

$5 w^{2}$

Step-by-step 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 $4 w^{2}+w^{2} \text { is } 5 w^{2}$.