## TheEdwardsFamily one year ago PLEASE HELP ME!!!!!!!! I'LL MEDAL! What is the missing exponent? (10^6) ____ = 10 ^-18

1. TheEdwardsFamily

@Nnesha

2. anonymous

Are you familiar with logs?

3. TheEdwardsFamily

no...

4. anonymous

I'm having trouble with the question. Is it$(10^6)^x = 10^{-18}$

5. TheEdwardsFamily

yes

6. anonymous

10 to the power 6 = 1,000,000 start there

7. TheEdwardsFamily

im trying to find the missing exponent

8. anonymous

OK. Then no logs required. This question involves using the laws of exponents. The law you need to understand to answer this question is the "power to a power" law. It say that when you have a power raised to another power, you multiply the exponents together. IN other words$\left( b^n \right)^m = b^{nm}$ So, what is$\left( 10^6 \right)^x$

9. TheEdwardsFamily

10^6 is 60

10. anonymous

No. Leave the base (10) alone and just multiply the two exponents. What is $$6 \times x$$ ?

11. anonymous

$\left( 10^6 \right)^x = 10^{6 \times x} = ?$

12. TheEdwardsFamily

so i am multiplying 6 * 6? im confused. (math is not my favorite subject.)

13. anonymous

No. Multiply 6 times x. What do you get?

14. TheEdwardsFamily

6?

15. anonymous

16. TheEdwardsFamily

17. anonymous

Have you done algebra?

18. TheEdwardsFamily

yes

19. anonymous

So have you solved problems like$3x=18$/etc.

20. TheEdwardsFamily

yes. i have.

21. anonymous

OK. Good. So when you see $$3x$$ as above, what mathematical operation is going on between the 3 and the x? (Addition, subtraction, multiplication, division)

22. TheEdwardsFamily

multiplication

23. anonymous

Excellent. So$3 \times x = 3x$right?

24. TheEdwardsFamily

yes

25. anonymous

OK. Back to your question. What is $$6 \times x$$ ?

26. TheEdwardsFamily

mmm....im thinking 3

27. anonymous

I'm sorry, I'm trying to determine where you're confused. You were just able to determine that$3 \times x = 3x$ but you're having difficulty with$6 \times x = ?$Can you tell me what's confusing you?

28. TheEdwardsFamily

ok, i think i understand now 6 * x =6x

29. TheEdwardsFamily

I was just confused at the beginning

30. anonymous

Yes! So, we've got your problem down to this:$\left( 10^6 \right)^x = 10^{-18}$$10^{6 \times x} = 10^{-18}$$10^{6x} = 10^{-18}$

31. anonymous

Now at this point, we have a single power on each side of the equation and these powers have the same base, i.e. 10. So now you can forget the bases and equate just the exponents, i.e.$6x = -18$Can you solve this for x?

32. anonymous

Sorry. Gotta run. Good luck finishing it off.

33. TheEdwardsFamily