## anonymous one year ago i have a question

1. anonymous
2. anonymous

@UsukiDoll @phi @welshfella

3. Vocaloid

hint: A^B * A^C = A^(B+C)

4. Vocaloid

(add the exponents, keep the base)

5. UsukiDoll

The second one seems easier ... @Vocaloid explained it well :)

6. anonymous

i did it think its a

7. Vocaloid

another hint for the first question: A^B/A^C = A^(B-C)

8. anonymous

i really dont know what that means at all

9. Vocaloid

|dw:1436966626304:dw| simplify all your answer choices and see which one matches the question

10. phi

remember that $$9^2$$ means $$9 \cdot 9$$ and $$9^6$$ means $$9 \cdot 9\cdot 9\cdot 9\cdot 9\cdot 9$$ and when you multiply them you get $$9 \cdot 9 \cdot 9 \cdot 9\cdot 9\cdot 9\cdot 9\cdot 9$$ and you can use the "short way" by writing 9 with what as the little number in the upper right ? (to find the number, count the number of nines)

11. anonymous

im not getting anything that's the answer

12. anonymous

the first one give me=56 second=4 third=20 fourth=0

13. phi

Do you know how to write $9 \cdot 9 \cdot 9 \cdot 9\cdot 9\cdot 9\cdot 9\cdot 9$ using 9 with a little number in the upper right ?

14. anonymous

so those are the answers you get to choose from right

15. anonymous

you know 56 4 20 0

16. phi

to answer this question, you need to learn what the exponent (little number in the upper right) means examples: $9^1 = 9 \\ 9^2 = 9 \cdot 9 \\ 9^3= 9 \cdot 9 \cdot 9$ do you get that idea ? the little number tells you how many times 9 is multiplied by itself

17. anonymous

right exactly

18. anonymous

yes I did it

19. phi

they start with $9^2 \cdot 9^6$ if we change to the "long way" to write that, it is $9 \cdot 9 \ \cdot \ 9 \cdot 9\cdot 9\cdot 9\cdot 9\cdot 9$

20. phi

now change the "long way" to the short way. Can you do that for $9 \cdot 9 \cdot 9 \cdot 9\cdot 9\cdot 9\cdot 9\cdot 9$ ?

21. anonymous

yes

22. Astrophysics

$\huge x^n \times x^m \implies x^{n+m}$ $\huge \frac{ x^n }{ x^m } = x^{n-m}$ I think that's more clear now.

23. anonymous

not really am I right its a

24. Astrophysics

For example $\huge 5^6 \times 5^9 \implies 5^{6+9} = 5^{14}$

25. anonymous

oj thx

26. Astrophysics

Np