## sisike 2 years ago 1. Write using exponents. (–4)(–4)

1. amistre64

multiplication is a more concise way of writing addition, k added n times:\[k+k+k+...+k=nk\] exponents are a more concise way of writing multiplication k multiplied n times... \[k*k*k*k*...*k=k^n\]

2. amistre64

so, first determine you value of k then determine how many times it is being multiplied to itself, n

3. sisike

O.o

4. amistre64

either you do not understand my explanation, or you perfer others to do your thinking for you ...

5. sisike

no I don't understand you. and I like to do my own thinking thank you :)

6. nincompoop

look at the patterns: (5)(5)(5) = 5^3 here, your exponent is 3. meaning that 5 has been multiplied three times. (-10)(-10)(-10)(-10)(-10) = (-10)^5 here, your exponent is 5. meaning that (-10) has been multiplied five times. (a)(a) = (a)^2 here, your exponent is 2. meaning that (a) has been multiplied twice. @amistre64 showed you something with k instead of a. these letters are just place holders, meaning they could be any value. it is the same concept, the k has been multiplied by how many times it appeared in the equation. he used n as a placeholder for the exponents to indicate that n will be how many times k will be multiplied.

7. sisike

ooooo ok :)

8. nincompoop

okay as in you understand now?

9. sisike

yes thank you!!

10. nincompoop

awesomeness! thank amistre64 :)

11. sisike

soooo would my answer be 16?

12. nincompoop

correct! negative multiplied by a negative results a positive

13. sisike

yay!!!!! ^.^ so when I write it down it would be.......|dw:1367250225075:dw|

14. nincompoop

caution: \[-4^2=-(4)^2=-16\]

15. nincompoop

no, that is not how you should write it down. you should follow the sign and it must be enclosed in a parenthesis.

16. sisike

oops! but ok :) do you mid helping me with one more question?

17. nincompoop

if it is not enclosed in a parenthesis, the sign that came before will be treated as multiplied by -1 after the calculation is made.

18. sisike

mind*

19. nincompoop

unfortunately, I don't have a lot of spare time. I just saw that you struggled and it was pretty easy enough for me to intervene and offer help.

20. sisike

ok :) well thank you so much anyway!!