# Rules of Indices

### 35 Responses

1. Thanks for this, very helpful stuff

Well-loved. Like or Dislike: 70  9

2. Amy says:

HELP!!!! I need to know what rule five is for a test tomorrow!! It says in my book:
2(in powers) -3=1 over 2, to the power 3= 1 over 8??? can

Hot debate. What do you think? 26  18

Sorry, I could not get to your comment in time. I will be updating this entry with more content very soon.

Like or Dislike: 16  23

4. it is kind of unclear of how the rules are divided and explained because i think they are more rules. so that was kind of unclear.

Like or Dislike: 18  19

5. whitney says:

what is A raise to the power x or A raise to the power 2x .

Like or Dislike: 16  19

6. Anna says:

A very helpful explanantion – thank you.

In the last line of rule four (just over the rule five title) am I right in thinking that the first fraction has been (inadventently) turn over again?

Like or Dislike: 16  8

7. Emmi says:

my mind is fully clear after seeing this. thankyou.

Like or Dislike: 13  8

8. segun says:

Thanks for dis!!!!

Like or Dislike: 14  11

9. ZP says:

Like or Dislike: 10  8

10. Anaan says:

Hey I need help.
How do you solve 3 to the power of 100 times 4 to the power of 100?

Like or Dislike: 10  6

11. Author says:

Hi is that

$3^{100} × 4^{100}$

Remember you cannot apply any rule here since the bases for both numbers is different.

Like or Dislike: 12  4

12. Rhyan says:

thanks this really helps when trying to revise

Like or Dislike: 8  5

13. Lamin Jammeh says:

Thanks…How does the rule apply when adding or subtracting the same bases but powers eg. X^a + X^b

Like or Dislike: 5  8

• Author says:

Hello Lamin,

As you have seen above you can’t apply any of the rules if it is addition.

Like or Dislike: 4  10

14. Bob says:

Because its brackets basic multiplication and division they ARRRREEE the 3 rules though.

Like or Dislike: 5  3

15. bob says:

awesome

Like or Dislike: 3  3

16. YOLO says:

quite good

Like or Dislike: 2  3

17. saran says:

how to solve
10^n – 4^n / 5^n – 2^n

Like or Dislike: 5  4

18. THANK YOU

Like or Dislike: 4  3

19. alvin says:

thx

Like or Dislike: 2  2

this is very help full web but i cant find the quation’s like
a1 over 2 x a-3 over 4

Like or Dislike: 3  3

this is very help full web but i cant find the quation’s like this one
a1 over 2 x a-3 over 4

Like or Dislike: 1  3

22. Thomas Graham says:

Hi most of your notes i find easy to understand but below my teacher (i’m an adult learner)he as given us stuff to reduce to a single index i have brackets within in brackets and fractions inside that and powers i’m confused have you a page i can look at please?

Like or Dislike: 1  2

• Author says:

Hello Thomas,

Can you type some examples of the questions that your teacher wants you to work out. Brackets means multiply so you might have to expand the expressions first. Are they similar to this:
$(x^2y^3) ÷ (x^2y^4)$
$(4^2(4×4×4)) × ((4×4×4)4^5)$
Remember indices rules only apply when the base for all the terms is the same to be able to reduce it to a single indexed number.

Like or Dislike: 3  2

23. Ann says:

Hi, I am having difficulty working out this question. Can anybody help ?

5×2/3=x-1/3

The answer is 1/5 but I am having trouble getting to that answer.

Like or Dislike: 2  2

• Chris says:

Probably not a problem still but thought i would answer anyway. times both sides by three cancels the division on both sides, adding 1 to both sides cancels the -1 on the right side and then you have 11= x

Like or Dislike: 1  1

24. arjun sarkar says:

i like mathematics

Like or Dislike: 6  2

25. Della says:

Hi when a – number multiplyed by a – number does the answer become a + number.

Like or Dislike: 0  2

26. Della says:

Hi when a – number multiplied by a – number does the answer become a + number.

Like or Dislike: 2  0

• Author says:

Yes. A negative number times a negative number is always equal to a postive number. For example;
$-2 \times -2 = 4$
$-4 \times -4 = 16$
$-1 \times -1 = 1$

Like or Dislike: 1  0

27. this really helps when studying …..thank you

Like or Dislike: 1  0

28. amanda says:

what is the value of o2?
what is the value of 0-2?
what is the value of 00?

Like or Dislike: 1  0

29. Barry says:

3^(x) X 2^(2×-3)=18

Can any body help me with this question I need to solve for X

It reads 3 to the power (x) multiplied by 2 to the power of (2×-3) = 18

Any help greatly appreciated

Barry

Like or Dislike: 1  0