Question

(4k^2)(2k^2)

Answer 1

8k^4

Answer 2

do you understand how this works patrycjaa ?

Answer 3

kind of.. i just multiply each of them right?

Answer 4

you multiply the numbers and add the exponents for the variables

Answer 5

what would i do when i divide? for example 7p3/2p4

Answer 6

\[4*k^2*2*k^2=4*2*k^2*k^2=8*k ^{(2+2)}=8*k ^{4}\]

Answer 7

that would be subtracting exponents when dividing and actually dividing the numbers if you can

Answer 8

so my answer would be 3.5^ -1?

Answer 9

no u can leave as
7
---
2p

Answer 10

instead of a decimal

Answer 11

To clarify why we add the exponents when multiplying:

\[k ^{2}*k ^{4}=(k*k)*(k*k*k*k)=k ^{(2+4)}=k ^{6}\]

And here is an example to explain why we subtract exponents in division:

\[\frac{k ^{6}}{k ^{3}}=\frac{k*k*k*k*k*k}{k*k*k}=k ^{(6-3)}=k ^{3}\]