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AS C1/C2 Maths Help on Indices watch

1. Hey, before you ask - I've completely failed at helping out a younger sibling with their AS homework. So I kinda need to ask someone who's Math's skill is more up to scratch.

Basically these are the following questions we need help on:

Any help would be appreciated! The rest seems pretty straight forward, just can't remember how to show or prove the first step of the bottom question or the start of Question 5.
2. (Original post by hct1802)
Hey, before you ask - I've completely failed at helping out a younger sibling with their AS homework. So I kinda need to ask someone who's Math's skill is more up to scratch.

Basically these are the following questions we need help on:

Any help would be appreciated! The rest seems pretty straight forward, just can't remember how to show or prove the first step of the bottom question or the start of Question 5.
One way is to express the 9, 27, 81 and 729 as powers of 3. To help you 729 is 3^6
3. (Original post by steve2005)
One way is to express the 9, 27, 81 and 729 as powers of 3. To help you 729 is 3^6
Thanks! By any chance do you know know how to substitute the 2^2x with y = 2^x as well?
4. Just jumping in here

2^2x can also be written as (2^x)^2 , by index/indices laws. (Since when you "power" a "power" you multiply the powers (Eek-hope that made some sense!) Since y=2^x, you'd get y^2 for the first bit.

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Updated: September 26, 2011
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