Why do we add the exponents when multiplying monomials that have the same base? Please help me thank you.

Positive whole number exponents represent repeated multiplication of the base.

For example, 2^3 means 2*2*2. We have 3 copies of the base 2 multiplied

Another example: 2^4 = 2*2*2*2 showing four copies of '2' multiplied

When multiplying 2^3 with 2^4, we have 3+4 = 7 copies of 2 multiplied overall. Notice I added the exponents. So 2^3*2^4 = 2^(3+4) = 2^7

The general rule is that a^b*a^c = a^(b+c)

8121 because

130,000 divided by 16 is 8121

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: