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)

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

the correct option is b

step-by-step explanation: