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HL year 11 question about exponentials


(Sarcasm)

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I'm not sure if this is the right forum but I can't find any tutorial that involves these: how do I go about simplifying expressions like this:

7^m+1 - 7^m all over 7^n - 7^n+2


or


5^2n+1 + 25^n all over 5^2n + 5^1+n

also

x - 2^1/2 + 1)^1/2 X (x+1)/ root x -:

what does that last bit even mean? ^

For reference, these are in the Higher level maths core book chapter 7: Ex 7.1 Q8 d-f on page 215

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Is this what you mean:

(7^m+1) - (7^m)

-------------------

(7^n) - (7^n+2)

= 7^m (7-1)

--------------

7^n (1-7^2)

= 7^m (6)

-----------

7^n (-48)

= 7^m

--------

7^n (-8)

= 7^m x 7^n x (-8)^-1

I guess that's simplified...

Just remember to take the common factor out of the bracket at the beginning

Edited by cricketcrazynerd
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yes that is the right answer! I'm not sure I understand what you've done in your first step though, which are the common factors?

EDIT: got that, Thanks!! but what is going on in the fourth step?

is it the same principle for the other question?

Edited by (Sarcasm)
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yes that is the right answer! I'm not sure I understand what you've done in your first step though, which are the common factors?

EDIT: got that, Thanks!! but what is going on in the fourth step?

is it the same principle for the other question?

1) 7^m is a common factor of both 7^m and 7^m+1 (this is 7^m + 7^1 remember?_

4) it's a typo, it's meant to be -8 (soz!)

I believe he made a typo - it should be /8. He's just cancelling the factor of 6 out.

I'm not exactly fond of being referred to as a male or HE...

Simran

yes that is the right answer! I'm not sure I understand what you've done in your first step though, which are the common factors?

EDIT: got that, Thanks!! but what is going on in the fourth step?

is it the same principle for the other question?

1) 7^m is a common factor of both 7^m and 7^m+1 (this is 7^m + 7^1 remember?_

4) it's a typo, it's meant to be -8 (soz!)

I believe he made a typo - it should be /8. He's just cancelling the factor of 6 out.

I'm not exactly fond of being referred to as a male or HE...

is it the same principle for the other question?

Yep... just take out a common factor

Simran

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